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Finding the Fourth Proportional to 615.75, 849.33 and 590.10

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Solution

The fourth proportional to 615.75, 849.33 and 590.10 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 849.33 = 590.10 : x
  2. Step 2: Convert to fraction form
    615.75/849.33 = 590.10/x
  3. Step 3: Cross multiply
    615.75x = 849.33 × 590.10
  4. Step 4: Simplify right side
    615.75x = 501,189.63
  5. Step 5: Solve for x
    x = 501,189.63/615.75
  6. Step 6: Final answer
    x = 813.95

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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.