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Finding the Fourth Proportional to 528.48, 729.30 and 307.42

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Solution

The fourth proportional to 528.48, 729.30 and 307.42 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 729.30 = 307.42 : x
  2. Step 2: Convert to fraction form
    528.48/729.30 = 307.42/x
  3. Step 3: Cross multiply
    528.48x = 729.30 × 307.42
  4. Step 4: Simplify right side
    528.48x = 224,201.41
  5. Step 5: Solve for x
    x = 224,201.41/528.48
  6. Step 6: Final answer
    x = 424.24

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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.