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Finding the Fourth Proportional to 528.16, 728.82 and 292.07

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Solution

The fourth proportional to 528.16, 728.82 and 292.07 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.16 : 728.82 = 292.07 : x
  2. Step 2: Convert to fraction form
    528.16/728.82 = 292.07/x
  3. Step 3: Cross multiply
    528.16x = 728.82 × 292.07
  4. Step 4: Simplify right side
    528.16x = 212,868.28
  5. Step 5: Solve for x
    x = 212,868.28/528.16
  6. Step 6: Final answer
    x = 403.04

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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.