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Finding the Fourth Proportional to 469.62, 648.06 and 283.14

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Solution

The fourth proportional to 469.62, 648.06 and 283.14 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 648.06 = 283.14 : x
  2. Step 2: Convert to fraction form
    469.62/648.06 = 283.14/x
  3. Step 3: Cross multiply
    469.62x = 648.06 × 283.14
  4. Step 4: Simplify right side
    469.62x = 183,491.71
  5. Step 5: Solve for x
    x = 183,491.71/469.62
  6. Step 6: Final answer
    x = 390.72

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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.