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Finding the Fourth Proportional to 581.85, 803.00 and 319.91

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Solution

The fourth proportional to 581.85, 803.00 and 319.91 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 803.00 = 319.91 : x
  2. Step 2: Convert to fraction form
    581.85/803.00 = 319.91/x
  3. Step 3: Cross multiply
    581.85x = 803.00 × 319.91
  4. Step 4: Simplify right side
    581.85x = 256,886.13
  5. Step 5: Solve for x
    x = 256,886.13/581.85
  6. Step 6: Final answer
    x = 441.50

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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.