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Finding the Fourth Proportional to 552.96, 830.16 and 293.16

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Solution

The fourth proportional to 552.96, 830.16 and 293.16 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.96 : 830.16 = 293.16 : x
  2. Step 2: Convert to fraction form
    552.96/830.16 = 293.16/x
  3. Step 3: Cross multiply
    552.96x = 830.16 × 293.16
  4. Step 4: Simplify right side
    552.96x = 243,369.71
  5. Step 5: Solve for x
    x = 243,369.71/552.96
  6. Step 6: Final answer
    x = 440.12

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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.