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Finding the Fourth Proportional to 623.48, 935.27 and 315.38

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Solution

The fourth proportional to 623.48, 935.27 and 315.38 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.48 : 935.27 = 315.38 : x
  2. Step 2: Convert to fraction form
    623.48/935.27 = 315.38/x
  3. Step 3: Cross multiply
    623.48x = 935.27 × 315.38
  4. Step 4: Simplify right side
    623.48x = 294,959.20
  5. Step 5: Solve for x
    x = 294,959.20/623.48
  6. Step 6: Final answer
    x = 473.09

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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.