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Finding the Fourth Proportional to 581.10, 801.90 and 360.08

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Solution

The fourth proportional to 581.10, 801.90 and 360.08 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.10 : 801.90 = 360.08 : x
  2. Step 2: Convert to fraction form
    581.10/801.90 = 360.08/x
  3. Step 3: Cross multiply
    581.10x = 801.90 × 360.08
  4. Step 4: Simplify right side
    581.10x = 288,748.15
  5. Step 5: Solve for x
    x = 288,748.15/581.10
  6. Step 6: Final answer
    x = 496.90

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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.