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Finding the Fourth Proportional to 580.15, 869.00 and 417.34

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Solution

The fourth proportional to 580.15, 869.00 and 417.34 is: 625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.15 : 869.00 = 417.34 : x
  2. Step 2: Convert to fraction form
    580.15/869.00 = 417.34/x
  3. Step 3: Cross multiply
    580.15x = 869.00 × 417.34
  4. Step 4: Simplify right side
    580.15x = 362,667.33
  5. Step 5: Solve for x
    x = 362,667.33/580.15
  6. Step 6: Final answer
    x = 625.13

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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.