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Finding the Fourth Proportional to 463.23, 695.15 and 383.04

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Solution

The fourth proportional to 463.23, 695.15 and 383.04 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.23 : 695.15 = 383.04 : x
  2. Step 2: Convert to fraction form
    463.23/695.15 = 383.04/x
  3. Step 3: Cross multiply
    463.23x = 695.15 × 383.04
  4. Step 4: Simplify right side
    463.23x = 266,270.26
  5. Step 5: Solve for x
    x = 266,270.26/463.23
  6. Step 6: Final answer
    x = 574.81

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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.