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Finding the Fourth Proportional to 631.04, 870.48 and 398.08

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Solution

The fourth proportional to 631.04, 870.48 and 398.08 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.04 : 870.48 = 398.08 : x
  2. Step 2: Convert to fraction form
    631.04/870.48 = 398.08/x
  3. Step 3: Cross multiply
    631.04x = 870.48 × 398.08
  4. Step 4: Simplify right side
    631.04x = 346,520.68
  5. Step 5: Solve for x
    x = 346,520.68/631.04
  6. Step 6: Final answer
    x = 549.13

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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.