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Finding the Fourth Proportional to 633.38, 874.16 and 456.80

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Solution

The fourth proportional to 633.38, 874.16 and 456.80 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 874.16 = 456.80 : x
  2. Step 2: Convert to fraction form
    633.38/874.16 = 456.80/x
  3. Step 3: Cross multiply
    633.38x = 874.16 × 456.80
  4. Step 4: Simplify right side
    633.38x = 399,314.00
  5. Step 5: Solve for x
    x = 399,314.00/633.38
  6. Step 6: Final answer
    x = 630.45

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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.