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Finding the Fourth Proportional to 619.52, 929.33 and 442.16

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Solution

The fourth proportional to 619.52, 929.33 and 442.16 is: 663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 929.33 = 442.16 : x
  2. Step 2: Convert to fraction form
    619.52/929.33 = 442.16/x
  3. Step 3: Cross multiply
    619.52x = 929.33 × 442.16
  4. Step 4: Simplify right side
    619.52x = 410,913.45
  5. Step 5: Solve for x
    x = 410,913.45/619.52
  6. Step 6: Final answer
    x = 663.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.