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Finding the Fourth Proportional to 581.19, 801.97 and 319.20

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Solution

The fourth proportional to 581.19, 801.97 and 319.20 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.19 : 801.97 = 319.20 : x
  2. Step 2: Convert to fraction form
    581.19/801.97 = 319.20/x
  3. Step 3: Cross multiply
    581.19x = 801.97 × 319.20
  4. Step 4: Simplify right side
    581.19x = 255,988.03
  5. Step 5: Solve for x
    x = 255,988.03/581.19
  6. Step 6: Final answer
    x = 440.45

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Double scale
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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.