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Finding the Fourth Proportional to 631.80, 947.98 and 412.02

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Solution

The fourth proportional to 631.80, 947.98 and 412.02 is: 618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 947.98 = 412.02 : x
  2. Step 2: Convert to fraction form
    631.80/947.98 = 412.02/x
  3. Step 3: Cross multiply
    631.80x = 947.98 × 412.02
  4. Step 4: Simplify right side
    631.80x = 390,586.72
  5. Step 5: Solve for x
    x = 390,586.72/631.80
  6. Step 6: Final answer
    x = 618.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.