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Finding the Fourth Proportional to 601.53, 904.23 and 558.74

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Solution

The fourth proportional to 601.53, 904.23 and 558.74 is: 839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.53 : 904.23 = 558.74 : x
  2. Step 2: Convert to fraction form
    601.53/904.23 = 558.74/x
  3. Step 3: Cross multiply
    601.53x = 904.23 × 558.74
  4. Step 4: Simplify right side
    601.53x = 505,224.95
  5. Step 5: Solve for x
    x = 505,224.95/601.53
  6. Step 6: Final answer
    x = 839.90

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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.