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Finding the Fourth Proportional to 631.08, 870.82 and 355.08

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Solution

The fourth proportional to 631.08, 870.82 and 355.08 is: 489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.08 : 870.82 = 355.08 : x
  2. Step 2: Convert to fraction form
    631.08/870.82 = 355.08/x
  3. Step 3: Cross multiply
    631.08x = 870.82 × 355.08
  4. Step 4: Simplify right side
    631.08x = 309,210.77
  5. Step 5: Solve for x
    x = 309,210.77/631.08
  6. Step 6: Final answer
    x = 489.97

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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.