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Finding the Fourth Proportional to 630.68, 870.01 and 409.75

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Solution

The fourth proportional to 630.68, 870.01 and 409.75 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 870.01 = 409.75 : x
  2. Step 2: Convert to fraction form
    630.68/870.01 = 409.75/x
  3. Step 3: Cross multiply
    630.68x = 870.01 × 409.75
  4. Step 4: Simplify right side
    630.68x = 356,483.40
  5. Step 5: Solve for x
    x = 356,483.40/630.68
  6. Step 6: Final answer
    x = 565.24

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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.