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Finding the Fourth Proportional to 500.32, 690.50 and 417.28

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Solution

The fourth proportional to 500.32, 690.50 and 417.28 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 690.50 = 417.28 : x
  2. Step 2: Convert to fraction form
    500.32/690.50 = 417.28/x
  3. Step 3: Cross multiply
    500.32x = 690.50 × 417.28
  4. Step 4: Simplify right side
    500.32x = 288,131.84
  5. Step 5: Solve for x
    x = 288,131.84/500.32
  6. Step 6: Final answer
    x = 575.90

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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.