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Finding the Fourth Proportional to 581.35, 802.26 and 315.79

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Solution

The fourth proportional to 581.35, 802.26 and 315.79 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.35 : 802.26 = 315.79 : x
  2. Step 2: Convert to fraction form
    581.35/802.26 = 315.79/x
  3. Step 3: Cross multiply
    581.35x = 802.26 × 315.79
  4. Step 4: Simplify right side
    581.35x = 253,346.47
  5. Step 5: Solve for x
    x = 253,346.47/581.35
  6. Step 6: Final answer
    x = 435.79

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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.