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Finding the Fourth Proportional to 520.53, 718.23 and 296.46

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Solution

The fourth proportional to 520.53, 718.23 and 296.46 is: 409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.53 : 718.23 = 296.46 : x
  2. Step 2: Convert to fraction form
    520.53/718.23 = 296.46/x
  3. Step 3: Cross multiply
    520.53x = 718.23 × 296.46
  4. Step 4: Simplify right side
    520.53x = 212,927.58
  5. Step 5: Solve for x
    x = 212,927.58/520.53
  6. Step 6: Final answer
    x = 409.06

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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.