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Finding the Fourth Proportional to 558.42, 839.54 and 456.45

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Solution

The fourth proportional to 558.42, 839.54 and 456.45 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 839.54 = 456.45 : x
  2. Step 2: Convert to fraction form
    558.42/839.54 = 456.45/x
  3. Step 3: Cross multiply
    558.42x = 839.54 × 456.45
  4. Step 4: Simplify right side
    558.42x = 383,208.03
  5. Step 5: Solve for x
    x = 383,208.03/558.42
  6. Step 6: Final answer
    x = 686.24

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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.