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Finding the Fourth Proportional to 500.42, 690.47 and 313.85

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Solution

The fourth proportional to 500.42, 690.47 and 313.85 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 690.47 = 313.85 : x
  2. Step 2: Convert to fraction form
    500.42/690.47 = 313.85/x
  3. Step 3: Cross multiply
    500.42x = 690.47 × 313.85
  4. Step 4: Simplify right side
    500.42x = 216,702.44
  5. Step 5: Solve for x
    x = 216,702.44/500.42
  6. Step 6: Final answer
    x = 433.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.