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Finding the Fourth Proportional to 580.89, 801.59 and 318.93

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Solution

The fourth proportional to 580.89, 801.59 and 318.93 is: 440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 801.59 = 318.93 : x
  2. Step 2: Convert to fraction form
    580.89/801.59 = 318.93/x
  3. Step 3: Cross multiply
    580.89x = 801.59 × 318.93
  4. Step 4: Simplify right side
    580.89x = 255,651.10
  5. Step 5: Solve for x
    x = 255,651.10/580.89
  6. Step 6: Final answer
    x = 440.10

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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.