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Finding the Fourth Proportional to 654.28, 902.08 and 497.07

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Solution

The fourth proportional to 654.28, 902.08 and 497.07 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.28 : 902.08 = 497.07 : x
  2. Step 2: Convert to fraction form
    654.28/902.08 = 497.07/x
  3. Step 3: Cross multiply
    654.28x = 902.08 × 497.07
  4. Step 4: Simplify right side
    654.28x = 448,396.91
  5. Step 5: Solve for x
    x = 448,396.91/654.28
  6. Step 6: Final answer
    x = 685.33

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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.