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Finding the Fourth Proportional to 595.65, 891.84 and 463.41

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Solution

The fourth proportional to 595.65, 891.84 and 463.41 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.65 : 891.84 = 463.41 : x
  2. Step 2: Convert to fraction form
    595.65/891.84 = 463.41/x
  3. Step 3: Cross multiply
    595.65x = 891.84 × 463.41
  4. Step 4: Simplify right side
    595.65x = 413,287.57
  5. Step 5: Solve for x
    x = 413,287.57/595.65
  6. Step 6: Final answer
    x = 693.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.