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Finding the Fourth Proportional to 581.66, 803.07 and 360.94

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Solution

The fourth proportional to 581.66, 803.07 and 360.94 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 803.07 = 360.94 : x
  2. Step 2: Convert to fraction form
    581.66/803.07 = 360.94/x
  3. Step 3: Cross multiply
    581.66x = 803.07 × 360.94
  4. Step 4: Simplify right side
    581.66x = 289,856.07
  5. Step 5: Solve for x
    x = 289,856.07/581.66
  6. Step 6: Final answer
    x = 498.33

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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.