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Finding the Fourth Proportional to 642.16, 963.12 and 400.18

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Solution

The fourth proportional to 642.16, 963.12 and 400.18 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.16 : 963.12 = 400.18 : x
  2. Step 2: Convert to fraction form
    642.16/963.12 = 400.18/x
  3. Step 3: Cross multiply
    642.16x = 963.12 × 400.18
  4. Step 4: Simplify right side
    642.16x = 385,421.36
  5. Step 5: Solve for x
    x = 385,421.36/642.16
  6. Step 6: Final answer
    x = 600.20

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1.5x scale

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.