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Finding the Fourth Proportional to 527.20, 722.09 and 497.29

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Solution

The fourth proportional to 527.20, 722.09 and 497.29 is: 681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.20 : 722.09 = 497.29 : x
  2. Step 2: Convert to fraction form
    527.20/722.09 = 497.29/x
  3. Step 3: Cross multiply
    527.20x = 722.09 × 497.29
  4. Step 4: Simplify right side
    527.20x = 359,088.14
  5. Step 5: Solve for x
    x = 359,088.14/527.20
  6. Step 6: Final answer
    x = 681.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.