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Finding the Fourth Proportional to 592.93, 816.51 and 580.15

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Solution

The fourth proportional to 592.93, 816.51 and 580.15 is: 798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.93 : 816.51 = 580.15 : x
  2. Step 2: Convert to fraction form
    592.93/816.51 = 580.15/x
  3. Step 3: Cross multiply
    592.93x = 816.51 × 580.15
  4. Step 4: Simplify right side
    592.93x = 473,698.28
  5. Step 5: Solve for x
    x = 473,698.28/592.93
  6. Step 6: Final answer
    x = 798.91

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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.