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Finding the Fourth Proportional to 647.86, 972.14 and 401.40

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Solution

The fourth proportional to 647.86, 972.14 and 401.40 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 972.14 = 401.40 : x
  2. Step 2: Convert to fraction form
    647.86/972.14 = 401.40/x
  3. Step 3: Cross multiply
    647.86x = 972.14 × 401.40
  4. Step 4: Simplify right side
    647.86x = 390,217.00
  5. Step 5: Solve for x
    x = 390,217.00/647.86
  6. Step 6: Final answer
    x = 602.32

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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.