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Finding the Fourth Proportional to 595.80, 822.45 and 463.06

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Solution

The fourth proportional to 595.80, 822.45 and 463.06 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 822.45 = 463.06 : x
  2. Step 2: Convert to fraction form
    595.80/822.45 = 463.06/x
  3. Step 3: Cross multiply
    595.80x = 822.45 × 463.06
  4. Step 4: Simplify right side
    595.80x = 380,839.58
  5. Step 5: Solve for x
    x = 380,839.58/595.80
  6. Step 6: Final answer
    x = 639.21

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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.