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Finding the Fourth Proportional to 595.96, 821.55 and 386.11

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Solution

The fourth proportional to 595.96, 821.55 and 386.11 is: 532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 821.55 = 386.11 : x
  2. Step 2: Convert to fraction form
    595.96/821.55 = 386.11/x
  3. Step 3: Cross multiply
    595.96x = 821.55 × 386.11
  4. Step 4: Simplify right side
    595.96x = 317,208.67
  5. Step 5: Solve for x
    x = 317,208.67/595.96
  6. Step 6: Final answer
    x = 532.27

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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.