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Finding the Fourth Proportional to 498.07, 742.10 and 470.13

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Solution

The fourth proportional to 498.07, 742.10 and 470.13 is: 700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 742.10 = 470.13 : x
  2. Step 2: Convert to fraction form
    498.07/742.10 = 470.13/x
  3. Step 3: Cross multiply
    498.07x = 742.10 × 470.13
  4. Step 4: Simplify right side
    498.07x = 348,883.47
  5. Step 5: Solve for x
    x = 348,883.47/498.07
  6. Step 6: Final answer
    x = 700.47

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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.