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Finding the Fourth Proportional to 502.07, 750.94 and 405.95

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Solution

The fourth proportional to 502.07, 750.94 and 405.95 is: 607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.07 : 750.94 = 405.95 : x
  2. Step 2: Convert to fraction form
    502.07/750.94 = 405.95/x
  3. Step 3: Cross multiply
    502.07x = 750.94 × 405.95
  4. Step 4: Simplify right side
    502.07x = 304,839.32
  5. Step 5: Solve for x
    x = 304,839.32/502.07
  6. Step 6: Final answer
    x = 607.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.