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Finding the Fourth Proportional to 528.01, 728.63 and 291.95

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Solution

The fourth proportional to 528.01, 728.63 and 291.95 is: 402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.01 : 728.63 = 291.95 : x
  2. Step 2: Convert to fraction form
    528.01/728.63 = 291.95/x
  3. Step 3: Cross multiply
    528.01x = 728.63 × 291.95
  4. Step 4: Simplify right side
    528.01x = 212,723.53
  5. Step 5: Solve for x
    x = 212,723.53/528.01
  6. Step 6: Final answer
    x = 402.88

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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.