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Finding the Fourth Proportional to 632.40, 871.88 and 466.32

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Solution

The fourth proportional to 632.40, 871.88 and 466.32 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.40 : 871.88 = 466.32 : x
  2. Step 2: Convert to fraction form
    632.40/871.88 = 466.32/x
  3. Step 3: Cross multiply
    632.40x = 871.88 × 466.32
  4. Step 4: Simplify right side
    632.40x = 406,575.08
  5. Step 5: Solve for x
    x = 406,575.08/632.40
  6. Step 6: Final answer
    x = 642.91

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1.5x scale

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.