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Finding the Fourth Proportional to 500.95, 692.01 and 474.68

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Solution

The fourth proportional to 500.95, 692.01 and 474.68 is: 655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.95 : 692.01 = 474.68 : x
  2. Step 2: Convert to fraction form
    500.95/692.01 = 474.68/x
  3. Step 3: Cross multiply
    500.95x = 692.01 × 474.68
  4. Step 4: Simplify right side
    500.95x = 328,478.07
  5. Step 5: Solve for x
    x = 328,478.07/500.95
  6. Step 6: Final answer
    x = 655.71

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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.