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Finding the Fourth Proportional to 469.71, 648.13 and 283.24

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Solution

The fourth proportional to 469.71, 648.13 and 283.24 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.71 : 648.13 = 283.24 : x
  2. Step 2: Convert to fraction form
    469.71/648.13 = 283.24/x
  3. Step 3: Cross multiply
    469.71x = 648.13 × 283.24
  4. Step 4: Simplify right side
    469.71x = 183,574.93
  5. Step 5: Solve for x
    x = 183,574.93/469.71
  6. Step 6: Final answer
    x = 390.83

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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.