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Finding the Fourth Proportional to 580.91, 870.77 and 364.64

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Solution

The fourth proportional to 580.91, 870.77 and 364.64 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 870.77 = 364.64 : x
  2. Step 2: Convert to fraction form
    580.91/870.77 = 364.64/x
  3. Step 3: Cross multiply
    580.91x = 870.77 × 364.64
  4. Step 4: Simplify right side
    580.91x = 317,514.13
  5. Step 5: Solve for x
    x = 317,514.13/580.91
  6. Step 6: Final answer
    x = 546.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.