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Finding the Fourth Proportional to 581.47, 802.44 and 319.50

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Solution

The fourth proportional to 581.47, 802.44 and 319.50 is: 440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.47 : 802.44 = 319.50 : x
  2. Step 2: Convert to fraction form
    581.47/802.44 = 319.50/x
  3. Step 3: Cross multiply
    581.47x = 802.44 × 319.50
  4. Step 4: Simplify right side
    581.47x = 256,379.58
  5. Step 5: Solve for x
    x = 256,379.58/581.47
  6. Step 6: Final answer
    x = 440.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.