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Finding the Fourth Proportional to 528.96, 730.04 and 342.16

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Solution

The fourth proportional to 528.96, 730.04 and 342.16 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 730.04 = 342.16 : x
  2. Step 2: Convert to fraction form
    528.96/730.04 = 342.16/x
  3. Step 3: Cross multiply
    528.96x = 730.04 × 342.16
  4. Step 4: Simplify right side
    528.96x = 249,790.49
  5. Step 5: Solve for x
    x = 249,790.49/528.96
  6. Step 6: Final answer
    x = 472.23

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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.