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Finding the Fourth Proportional to 591.15, 886.34 and 283.00

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Solution

The fourth proportional to 591.15, 886.34 and 283.00 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.15 : 886.34 = 283.00 : x
  2. Step 2: Convert to fraction form
    591.15/886.34 = 283.00/x
  3. Step 3: Cross multiply
    591.15x = 886.34 × 283.00
  4. Step 4: Simplify right side
    591.15x = 250,830.50
  5. Step 5: Solve for x
    x = 250,830.50/591.15
  6. Step 6: Final answer
    x = 424.31

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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.