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Finding the Fourth Proportional to 580.79, 801.86 and 360.06

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Solution

The fourth proportional to 580.79, 801.86 and 360.06 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.79 : 801.86 = 360.06 : x
  2. Step 2: Convert to fraction form
    580.79/801.86 = 360.06/x
  3. Step 3: Cross multiply
    580.79x = 801.86 × 360.06
  4. Step 4: Simplify right side
    580.79x = 288,718.61
  5. Step 5: Solve for x
    x = 288,718.61/580.79
  6. Step 6: Final answer
    x = 497.12

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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.