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Finding the Fourth Proportional to 700.32, 966.16 and 424.48

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Solution

The fourth proportional to 700.32, 966.16 and 424.48 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 966.16 = 424.48 : x
  2. Step 2: Convert to fraction form
    700.32/966.16 = 424.48/x
  3. Step 3: Cross multiply
    700.32x = 966.16 × 424.48
  4. Step 4: Simplify right side
    700.32x = 410,115.60
  5. Step 5: Solve for x
    x = 410,115.60/700.32
  6. Step 6: Final answer
    x = 585.61

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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.