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Finding the Fourth Proportional to 468.53, 647.01 and 294.18

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Solution

The fourth proportional to 468.53, 647.01 and 294.18 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 647.01 = 294.18 : x
  2. Step 2: Convert to fraction form
    468.53/647.01 = 294.18/x
  3. Step 3: Cross multiply
    468.53x = 647.01 × 294.18
  4. Step 4: Simplify right side
    468.53x = 190,337.40
  5. Step 5: Solve for x
    x = 190,337.40/468.53
  6. Step 6: Final answer
    x = 406.24

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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.