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Finding the Fourth Proportional to 527.58, 728.08 and 294.72

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Solution

The fourth proportional to 527.58, 728.08 and 294.72 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 728.08 = 294.72 : x
  2. Step 2: Convert to fraction form
    527.58/728.08 = 294.72/x
  3. Step 3: Cross multiply
    527.58x = 728.08 × 294.72
  4. Step 4: Simplify right side
    527.58x = 214,579.74
  5. Step 5: Solve for x
    x = 214,579.74/527.58
  6. Step 6: Final answer
    x = 406.72

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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.