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Finding the Fourth Proportional to 581.86, 802.96 and 319.86

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Solution

The fourth proportional to 581.86, 802.96 and 319.86 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.86 : 802.96 = 319.86 : x
  2. Step 2: Convert to fraction form
    581.86/802.96 = 319.86/x
  3. Step 3: Cross multiply
    581.86x = 802.96 × 319.86
  4. Step 4: Simplify right side
    581.86x = 256,834.79
  5. Step 5: Solve for x
    x = 256,834.79/581.86
  6. Step 6: Final answer
    x = 441.40

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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.