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Finding the Fourth Proportional to 424.51, 637.07 and 294.81

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Solution

The fourth proportional to 424.51, 637.07 and 294.81 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.51 : 637.07 = 294.81 : x
  2. Step 2: Convert to fraction form
    424.51/637.07 = 294.81/x
  3. Step 3: Cross multiply
    424.51x = 637.07 × 294.81
  4. Step 4: Simplify right side
    424.51x = 187,810.74
  5. Step 5: Solve for x
    x = 187,810.74/424.51
  6. Step 6: Final answer
    x = 442.42

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