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Finding the Fourth Proportional to 528.14, 728.86 and 292.10

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Solution

The fourth proportional to 528.14, 728.86 and 292.10 is: 403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 728.86 = 292.10 : x
  2. Step 2: Convert to fraction form
    528.14/728.86 = 292.10/x
  3. Step 3: Cross multiply
    528.14x = 728.86 × 292.10
  4. Step 4: Simplify right side
    528.14x = 212,900.01
  5. Step 5: Solve for x
    x = 212,900.01/528.14
  6. Step 6: Final answer
    x = 403.11

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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.