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Finding the Fourth Proportional to 497.30, 740.69 and 471.28

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Solution

The fourth proportional to 497.30, 740.69 and 471.28 is: 701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 740.69 = 471.28 : x
  2. Step 2: Convert to fraction form
    497.30/740.69 = 471.28/x
  3. Step 3: Cross multiply
    497.30x = 740.69 × 471.28
  4. Step 4: Simplify right side
    497.30x = 349,068.68
  5. Step 5: Solve for x
    x = 349,068.68/497.30
  6. Step 6: Final answer
    x = 701.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.