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Finding the Fourth Proportional to 520.77, 718.58 and 334.43

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Solution

The fourth proportional to 520.77, 718.58 and 334.43 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.77 : 718.58 = 334.43 : x
  2. Step 2: Convert to fraction form
    520.77/718.58 = 334.43/x
  3. Step 3: Cross multiply
    520.77x = 718.58 × 334.43
  4. Step 4: Simplify right side
    520.77x = 240,314.71
  5. Step 5: Solve for x
    x = 240,314.71/520.77
  6. Step 6: Final answer
    x = 461.46

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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.