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Finding the Fourth Proportional to 487.24, 670.76 and 424.20

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Solution

The fourth proportional to 487.24, 670.76 and 424.20 is: 583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 670.76 = 424.20 : x
  2. Step 2: Convert to fraction form
    487.24/670.76 = 424.20/x
  3. Step 3: Cross multiply
    487.24x = 670.76 × 424.20
  4. Step 4: Simplify right side
    487.24x = 284,536.39
  5. Step 5: Solve for x
    x = 284,536.39/487.24
  6. Step 6: Final answer
    x = 583.98

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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.