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Finding the Fourth Proportional to 580.96, 801.75 and 360.13

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Solution

The fourth proportional to 580.96, 801.75 and 360.13 is: 497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 801.75 = 360.13 : x
  2. Step 2: Convert to fraction form
    580.96/801.75 = 360.13/x
  3. Step 3: Cross multiply
    580.96x = 801.75 × 360.13
  4. Step 4: Simplify right side
    580.96x = 288,734.23
  5. Step 5: Solve for x
    x = 288,734.23/580.96
  6. Step 6: Final answer
    x = 497.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.