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Finding the Fourth Proportional to 424.53, 586.31 and 313.83

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Solution

The fourth proportional to 424.53, 586.31 and 313.83 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.53 : 586.31 = 313.83 : x
  2. Step 2: Convert to fraction form
    424.53/586.31 = 313.83/x
  3. Step 3: Cross multiply
    424.53x = 586.31 × 313.83
  4. Step 4: Simplify right side
    424.53x = 184,000.10
  5. Step 5: Solve for x
    x = 184,000.10/424.53
  6. Step 6: Final answer
    x = 433.42

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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.