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Finding the Fourth Proportional to 527.77, 728.34 and 291.74

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Solution

The fourth proportional to 527.77, 728.34 and 291.74 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.77 : 728.34 = 291.74 : x
  2. Step 2: Convert to fraction form
    527.77/728.34 = 291.74/x
  3. Step 3: Cross multiply
    527.77x = 728.34 × 291.74
  4. Step 4: Simplify right side
    527.77x = 212,482.27
  5. Step 5: Solve for x
    x = 212,482.27/527.77
  6. Step 6: Final answer
    x = 402.61

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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.