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Finding the Fourth Proportional to 595.41, 821.47 and 385.75

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Solution

The fourth proportional to 595.41, 821.47 and 385.75 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.41 : 821.47 = 385.75 : x
  2. Step 2: Convert to fraction form
    595.41/821.47 = 385.75/x
  3. Step 3: Cross multiply
    595.41x = 821.47 × 385.75
  4. Step 4: Simplify right side
    595.41x = 316,878.22
  5. Step 5: Solve for x
    x = 316,878.22/595.41
  6. Step 6: Final answer
    x = 532.21

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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.