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Finding the Fourth Proportional to 580.08, 870.32 and 417.28

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Solution

The fourth proportional to 580.08, 870.32 and 417.28 is: 626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 870.32 = 417.28 : x
  2. Step 2: Convert to fraction form
    580.08/870.32 = 417.28/x
  3. Step 3: Cross multiply
    580.08x = 870.32 × 417.28
  4. Step 4: Simplify right side
    580.08x = 363,167.13
  5. Step 5: Solve for x
    x = 363,167.13/580.08
  6. Step 6: Final answer
    x = 626.06

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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.