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Finding the Fourth Proportional to 580.34, 870.71 and 417.11

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Solution

The fourth proportional to 580.34, 870.71 and 417.11 is: 625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 870.71 = 417.11 : x
  2. Step 2: Convert to fraction form
    580.34/870.71 = 417.11/x
  3. Step 3: Cross multiply
    580.34x = 870.71 × 417.11
  4. Step 4: Simplify right side
    580.34x = 363,175.41
  5. Step 5: Solve for x
    x = 363,175.41/580.34
  6. Step 6: Final answer
    x = 625.80

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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.