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Finding the Fourth Proportional to 527.72, 727.76 and 417

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Solution

The fourth proportional to 527.72, 727.76 and 417 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 727.76 = 417 : x
  2. Step 2: Convert to fraction form
    527.72/727.76 = 417/x
  3. Step 3: Cross multiply
    527.72x = 727.76 × 417
  4. Step 4: Simplify right side
    527.72x = 303,475.92
  5. Step 5: Solve for x
    x = 303,475.92/527.72
  6. Step 6: Final answer
    x = 575.07

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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.