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Finding the Fourth Proportional to 424.69, 587.16 and 294.67

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Solution

The fourth proportional to 424.69, 587.16 and 294.67 is: 407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.69 : 587.16 = 294.67 : x
  2. Step 2: Convert to fraction form
    424.69/587.16 = 294.67/x
  3. Step 3: Cross multiply
    424.69x = 587.16 × 294.67
  4. Step 4: Simplify right side
    424.69x = 173,018.44
  5. Step 5: Solve for x
    x = 173,018.44/424.69
  6. Step 6: Final answer
    x = 407.40

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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.