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Finding the Fourth Proportional to 654.75, 903.55 and 360.02

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Solution

The fourth proportional to 654.75, 903.55 and 360.02 is: 496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.55 = 360.02 : x
  2. Step 2: Convert to fraction form
    654.75/903.55 = 360.02/x
  3. Step 3: Cross multiply
    654.75x = 903.55 × 360.02
  4. Step 4: Simplify right side
    654.75x = 325,291.55
  5. Step 5: Solve for x
    x = 325,291.55/654.75
  6. Step 6: Final answer
    x = 496.82

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Find fourth proportional to 327.38, 451.78 and 180.01
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.