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Finding the Fourth Proportional to 631.04, 870.83 and 355.04

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Solution

The fourth proportional to 631.04, 870.83 and 355.04 is: 489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.04 : 870.83 = 355.04 : x
  2. Step 2: Convert to fraction form
    631.04/870.83 = 355.04/x
  3. Step 3: Cross multiply
    631.04x = 870.83 × 355.04
  4. Step 4: Simplify right side
    631.04x = 309,173.35
  5. Step 5: Solve for x
    x = 309,173.35/631.04
  6. Step 6: Final answer
    x = 489.95

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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.