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Finding the Fourth Proportional to 527.47, 727.60 and 317.50

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Solution

The fourth proportional to 527.47, 727.60 and 317.50 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 727.60 = 317.50 : x
  2. Step 2: Convert to fraction form
    527.47/727.60 = 317.50/x
  3. Step 3: Cross multiply
    527.47x = 727.60 × 317.50
  4. Step 4: Simplify right side
    527.47x = 231,007.77
  5. Step 5: Solve for x
    x = 231,007.77/527.47
  6. Step 6: Final answer
    x = 437.96

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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.