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Finding the Fourth Proportional to 581.39, 801.15 and 433.70

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Solution

The fourth proportional to 581.39, 801.15 and 433.70 is: 597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.39 : 801.15 = 433.70 : x
  2. Step 2: Convert to fraction form
    581.39/801.15 = 433.70/x
  3. Step 3: Cross multiply
    581.39x = 801.15 × 433.70
  4. Step 4: Simplify right side
    581.39x = 347,458.76
  5. Step 5: Solve for x
    x = 347,458.76/581.39
  6. Step 6: Final answer
    x = 597.63

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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.