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Finding the Fourth Proportional to 631.15, 870.41 and 456.19

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Solution

The fourth proportional to 631.15, 870.41 and 456.19 is: 629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.15 : 870.41 = 456.19 : x
  2. Step 2: Convert to fraction form
    631.15/870.41 = 456.19/x
  3. Step 3: Cross multiply
    631.15x = 870.41 × 456.19
  4. Step 4: Simplify right side
    631.15x = 397,071.30
  5. Step 5: Solve for x
    x = 397,071.30/631.15
  6. Step 6: Final answer
    x = 629.13

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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.