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Finding the Fourth Proportional to 501.39, 690.73 and 476.69

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Solution

The fourth proportional to 501.39, 690.73 and 476.69 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 690.73 = 476.69 : x
  2. Step 2: Convert to fraction form
    501.39/690.73 = 476.69/x
  3. Step 3: Cross multiply
    501.39x = 690.73 × 476.69
  4. Step 4: Simplify right side
    501.39x = 329,259.44
  5. Step 5: Solve for x
    x = 329,259.44/501.39
  6. Step 6: Final answer
    x = 656.69

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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.