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Finding the Fourth Proportional to 591.39, 886.51 and 283.16

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Solution

The fourth proportional to 591.39, 886.51 and 283.16 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.39 : 886.51 = 283.16 : x
  2. Step 2: Convert to fraction form
    591.39/886.51 = 283.16/x
  3. Step 3: Cross multiply
    591.39x = 886.51 × 283.16
  4. Step 4: Simplify right side
    591.39x = 251,024.17
  5. Step 5: Solve for x
    x = 251,024.17/591.39
  6. Step 6: Final answer
    x = 424.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.