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Finding the Fourth Proportional to 631.40, 870.92 and 407.62

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Solution

The fourth proportional to 631.40, 870.92 and 407.62 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 870.92 = 407.62 : x
  2. Step 2: Convert to fraction form
    631.40/870.92 = 407.62/x
  3. Step 3: Cross multiply
    631.40x = 870.92 × 407.62
  4. Step 4: Simplify right side
    631.40x = 355,000.20
  5. Step 5: Solve for x
    x = 355,000.20/631.40
  6. Step 6: Final answer
    x = 562.25

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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.