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Finding the Fourth Proportional to 527.74, 728.26 and 429.32

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Solution

The fourth proportional to 527.74, 728.26 and 429.32 is: 592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.74 : 728.26 = 429.32 : x
  2. Step 2: Convert to fraction form
    527.74/728.26 = 429.32/x
  3. Step 3: Cross multiply
    527.74x = 728.26 × 429.32
  4. Step 4: Simplify right side
    527.74x = 312,657.33
  5. Step 5: Solve for x
    x = 312,657.33/527.74
  6. Step 6: Final answer
    x = 592.45

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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.