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Finding the Fourth Proportional to 581.02, 801.72 and 359.86

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Solution

The fourth proportional to 581.02, 801.72 and 359.86 is: 496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.02 : 801.72 = 359.86 : x
  2. Step 2: Convert to fraction form
    581.02/801.72 = 359.86/x
  3. Step 3: Cross multiply
    581.02x = 801.72 × 359.86
  4. Step 4: Simplify right side
    581.02x = 288,506.96
  5. Step 5: Solve for x
    x = 288,506.96/581.02
  6. Step 6: Final answer
    x = 496.55

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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.