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Finding the Fourth Proportional to 580.91, 801.64 and 315.35

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Solution

The fourth proportional to 580.91, 801.64 and 315.35 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 801.64 = 315.35 : x
  2. Step 2: Convert to fraction form
    580.91/801.64 = 315.35/x
  3. Step 3: Cross multiply
    580.91x = 801.64 × 315.35
  4. Step 4: Simplify right side
    580.91x = 252,794.31
  5. Step 5: Solve for x
    x = 252,794.31/580.91
  6. Step 6: Final answer
    x = 435.17

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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.