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Finding the Fourth Proportional to 500.58, 690.12 and 464.94

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Solution

The fourth proportional to 500.58, 690.12 and 464.94 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 690.12 = 464.94 : x
  2. Step 2: Convert to fraction form
    500.58/690.12 = 464.94/x
  3. Step 3: Cross multiply
    500.58x = 690.12 × 464.94
  4. Step 4: Simplify right side
    500.58x = 320,864.39
  5. Step 5: Solve for x
    x = 320,864.39/500.58
  6. Step 6: Final answer
    x = 640.99

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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.