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Finding the Fourth Proportional to 595.70, 821.68 and 385.79

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Solution

The fourth proportional to 595.70, 821.68 and 385.79 is: 532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.70 : 821.68 = 385.79 : x
  2. Step 2: Convert to fraction form
    595.70/821.68 = 385.79/x
  3. Step 3: Cross multiply
    595.70x = 821.68 × 385.79
  4. Step 4: Simplify right side
    595.70x = 316,995.93
  5. Step 5: Solve for x
    x = 316,995.93/595.70
  6. Step 6: Final answer
    x = 532.14

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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.