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Finding the Fourth Proportional to 587.60, 810.96 and 366.59

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Solution

The fourth proportional to 587.60, 810.96 and 366.59 is: 505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 810.96 = 366.59 : x
  2. Step 2: Convert to fraction form
    587.60/810.96 = 366.59/x
  3. Step 3: Cross multiply
    587.60x = 810.96 × 366.59
  4. Step 4: Simplify right side
    587.60x = 297,285.77
  5. Step 5: Solve for x
    x = 297,285.77/587.60
  6. Step 6: Final answer
    x = 505.93

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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.