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Finding the Fourth Proportional to 595.35, 822.25 and 566.19

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Solution

The fourth proportional to 595.35, 822.25 and 566.19 is: 781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.35 : 822.25 = 566.19 : x
  2. Step 2: Convert to fraction form
    595.35/822.25 = 566.19/x
  3. Step 3: Cross multiply
    595.35x = 822.25 × 566.19
  4. Step 4: Simplify right side
    595.35x = 465,550.44
  5. Step 5: Solve for x
    x = 465,550.44/595.35
  6. Step 6: Final answer
    x = 781.98

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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.