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Finding the Fourth Proportional to 642.40, 886.30 and 421.24

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Solution

The fourth proportional to 642.40, 886.30 and 421.24 is: 581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.40 : 886.30 = 421.24 : x
  2. Step 2: Convert to fraction form
    642.40/886.30 = 421.24/x
  3. Step 3: Cross multiply
    642.40x = 886.30 × 421.24
  4. Step 4: Simplify right side
    642.40x = 373,345.01
  5. Step 5: Solve for x
    x = 373,345.01/642.40
  6. Step 6: Final answer
    x = 581.17

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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.