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Finding the Fourth Proportional to 595.85, 821.69 and 386.00

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Solution

The fourth proportional to 595.85, 821.69 and 386.00 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.85 : 821.69 = 386.00 : x
  2. Step 2: Convert to fraction form
    595.85/821.69 = 386.00/x
  3. Step 3: Cross multiply
    595.85x = 821.69 × 386.00
  4. Step 4: Simplify right side
    595.85x = 317,168.23
  5. Step 5: Solve for x
    x = 317,168.23/595.85
  6. Step 6: Final answer
    x = 532.30

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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.