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Finding the Fourth Proportional to 477.82, 660.05 and 457.84

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Solution

The fourth proportional to 477.82, 660.05 and 457.84 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.82 : 660.05 = 457.84 : x
  2. Step 2: Convert to fraction form
    477.82/660.05 = 457.84/x
  3. Step 3: Cross multiply
    477.82x = 660.05 × 457.84
  4. Step 4: Simplify right side
    477.82x = 302,197.29
  5. Step 5: Solve for x
    x = 302,197.29/477.82
  6. Step 6: Final answer
    x = 632.45

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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.