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Finding the Fourth Proportional to 543.74, 750.98 and 358.06

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Solution

The fourth proportional to 543.74, 750.98 and 358.06 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 750.98 = 358.06 : x
  2. Step 2: Convert to fraction form
    543.74/750.98 = 358.06/x
  3. Step 3: Cross multiply
    543.74x = 750.98 × 358.06
  4. Step 4: Simplify right side
    543.74x = 268,892.17
  5. Step 5: Solve for x
    x = 268,892.17/543.74
  6. Step 6: Final answer
    x = 494.53

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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.