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Finding the Fourth Proportional to 675.47, 931.74 and 498.25

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Solution

The fourth proportional to 675.47, 931.74 and 498.25 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 931.74 = 498.25 : x
  2. Step 2: Convert to fraction form
    675.47/931.74 = 498.25/x
  3. Step 3: Cross multiply
    675.47x = 931.74 × 498.25
  4. Step 4: Simplify right side
    675.47x = 464,238.75
  5. Step 5: Solve for x
    x = 464,238.75/675.47
  6. Step 6: Final answer
    x = 687.28

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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.