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Finding the Fourth Proportional to 580.19, 795.47 and 569.79

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Solution

The fourth proportional to 580.19, 795.47 and 569.79 is: 781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 795.47 = 569.79 : x
  2. Step 2: Convert to fraction form
    580.19/795.47 = 569.79/x
  3. Step 3: Cross multiply
    580.19x = 795.47 × 569.79
  4. Step 4: Simplify right side
    580.19x = 453,248.00
  5. Step 5: Solve for x
    x = 453,248.00/580.19
  6. Step 6: Final answer
    x = 781.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.