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Finding the Fourth Proportional to 630.25, 869.75 and 354.25

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Solution

The fourth proportional to 630.25, 869.75 and 354.25 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 869.75 = 354.25 : x
  2. Step 2: Convert to fraction form
    630.25/869.75 = 354.25/x
  3. Step 3: Cross multiply
    630.25x = 869.75 × 354.25
  4. Step 4: Simplify right side
    630.25x = 308,107.17
  5. Step 5: Solve for x
    x = 308,107.17/630.25
  6. Step 6: Final answer
    x = 488.87

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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.