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Finding the Fourth Proportional to 527.95, 728.57 and 288.68

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Solution

The fourth proportional to 527.95, 728.57 and 288.68 is: 398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.95 : 728.57 = 288.68 : x
  2. Step 2: Convert to fraction form
    527.95/728.57 = 288.68/x
  3. Step 3: Cross multiply
    527.95x = 728.57 × 288.68
  4. Step 4: Simplify right side
    527.95x = 210,323.59
  5. Step 5: Solve for x
    x = 210,323.59/527.95
  6. Step 6: Final answer
    x = 398.38

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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.