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Finding the Fourth Proportional to 564, 844.32 and 466.02

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Solution

The fourth proportional to 564, 844.32 and 466.02 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 844.32 = 466.02 : x
  2. Step 2: Convert to fraction form
    564/844.32 = 466.02/x
  3. Step 3: Cross multiply
    564x = 844.32 × 466.02
  4. Step 4: Simplify right side
    564x = 393,470.01
  5. Step 5: Solve for x
    x = 393,470.01/564
  6. Step 6: Final answer
    x = 697.64

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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.