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Finding the Fourth Proportional to 528.23, 729.32 and 342.20

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Solution

The fourth proportional to 528.23, 729.32 and 342.20 is: 472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 729.32 = 342.20 : x
  2. Step 2: Convert to fraction form
    528.23/729.32 = 342.20/x
  3. Step 3: Cross multiply
    528.23x = 729.32 × 342.20
  4. Step 4: Simplify right side
    528.23x = 249,567.95
  5. Step 5: Solve for x
    x = 249,567.95/528.23
  6. Step 6: Final answer
    x = 472.47

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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.