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Finding the Fourth Proportional to 500.06, 690.16 and 417.04

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Solution

The fourth proportional to 500.06, 690.16 and 417.04 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 690.16 = 417.04 : x
  2. Step 2: Convert to fraction form
    500.06/690.16 = 417.04/x
  3. Step 3: Cross multiply
    500.06x = 690.16 × 417.04
  4. Step 4: Simplify right side
    500.06x = 287,824.33
  5. Step 5: Solve for x
    x = 287,824.33/500.06
  6. Step 6: Final answer
    x = 575.58

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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.