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Finding the Fourth Proportional to 520.23, 718.17 and 334.00

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Solution

The fourth proportional to 520.23, 718.17 and 334.00 is: 461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 718.17 = 334.00 : x
  2. Step 2: Convert to fraction form
    520.23/718.17 = 334.00/x
  3. Step 3: Cross multiply
    520.23x = 718.17 × 334.00
  4. Step 4: Simplify right side
    520.23x = 239,870.93
  5. Step 5: Solve for x
    x = 239,870.93/520.23
  6. Step 6: Final answer
    x = 461.08

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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.