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Finding the Fourth Proportional to 527.50, 727.66 and 317.55

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Solution

The fourth proportional to 527.50, 727.66 and 317.55 is: 438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 727.66 = 317.55 : x
  2. Step 2: Convert to fraction form
    527.50/727.66 = 317.55/x
  3. Step 3: Cross multiply
    527.50x = 727.66 × 317.55
  4. Step 4: Simplify right side
    527.50x = 231,064.91
  5. Step 5: Solve for x
    x = 231,064.91/527.50
  6. Step 6: Final answer
    x = 438.04

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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.