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Finding the Fourth Proportional to 501.76, 693.13 and 477.46

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Solution

The fourth proportional to 501.76, 693.13 and 477.46 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 693.13 = 477.46 : x
  2. Step 2: Convert to fraction form
    501.76/693.13 = 477.46/x
  3. Step 3: Cross multiply
    501.76x = 693.13 × 477.46
  4. Step 4: Simplify right side
    501.76x = 330,941.85
  5. Step 5: Solve for x
    x = 330,941.85/501.76
  6. Step 6: Final answer
    x = 659.56

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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.