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Finding the Fourth Proportional to 631.38, 870.21 and 434.64

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Solution

The fourth proportional to 631.38, 870.21 and 434.64 is: 599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.38 : 870.21 = 434.64 : x
  2. Step 2: Convert to fraction form
    631.38/870.21 = 434.64/x
  3. Step 3: Cross multiply
    631.38x = 870.21 × 434.64
  4. Step 4: Simplify right side
    631.38x = 378,228.07
  5. Step 5: Solve for x
    x = 378,228.07/631.38
  6. Step 6: Final answer
    x = 599.05

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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.