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Finding the Fourth Proportional to 580.17, 869.99 and 336.77

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Solution

The fourth proportional to 580.17, 869.99 and 336.77 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 869.99 = 336.77 : x
  2. Step 2: Convert to fraction form
    580.17/869.99 = 336.77/x
  3. Step 3: Cross multiply
    580.17x = 869.99 × 336.77
  4. Step 4: Simplify right side
    580.17x = 292,986.53
  5. Step 5: Solve for x
    x = 292,986.53/580.17
  6. Step 6: Final answer
    x = 505.00

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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.