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Finding the Fourth Proportional to 595.22, 816.18 and 574.62

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Solution

The fourth proportional to 595.22, 816.18 and 574.62 is: 787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 816.18 = 574.62 : x
  2. Step 2: Convert to fraction form
    595.22/816.18 = 574.62/x
  3. Step 3: Cross multiply
    595.22x = 816.18 × 574.62
  4. Step 4: Simplify right side
    595.22x = 468,990.48
  5. Step 5: Solve for x
    x = 468,990.48/595.22
  6. Step 6: Final answer
    x = 787.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.