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Finding the Fourth Proportional to 497.28, 744.70 and 410.08

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Solution

The fourth proportional to 497.28, 744.70 and 410.08 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 744.70 = 410.08 : x
  2. Step 2: Convert to fraction form
    497.28/744.70 = 410.08/x
  3. Step 3: Cross multiply
    497.28x = 744.70 × 410.08
  4. Step 4: Simplify right side
    497.28x = 305,386.58
  5. Step 5: Solve for x
    x = 305,386.58/497.28
  6. Step 6: Final answer
    x = 614.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.