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Finding the Fourth Proportional to 631.08, 870.57 and 434.70

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Solution

The fourth proportional to 631.08, 870.57 and 434.70 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.08 : 870.57 = 434.70 : x
  2. Step 2: Convert to fraction form
    631.08/870.57 = 434.70/x
  3. Step 3: Cross multiply
    631.08x = 870.57 × 434.70
  4. Step 4: Simplify right side
    631.08x = 378,436.78
  5. Step 5: Solve for x
    x = 378,436.78/631.08
  6. Step 6: Final answer
    x = 599.67

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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.