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Finding the Fourth Proportional to 527.79, 728.37 and 291.77

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Solution

The fourth proportional to 527.79, 728.37 and 291.77 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.79 : 728.37 = 291.77 : x
  2. Step 2: Convert to fraction form
    527.79/728.37 = 291.77/x
  3. Step 3: Cross multiply
    527.79x = 728.37 × 291.77
  4. Step 4: Simplify right side
    527.79x = 212,516.51
  5. Step 5: Solve for x
    x = 212,516.51/527.79
  6. Step 6: Final answer
    x = 402.65

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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.