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Finding the Fourth Proportional to 520.64, 719.52 and 416.96

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Solution

The fourth proportional to 520.64, 719.52 and 416.96 is: 576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 719.52 = 416.96 : x
  2. Step 2: Convert to fraction form
    520.64/719.52 = 416.96/x
  3. Step 3: Cross multiply
    520.64x = 719.52 × 416.96
  4. Step 4: Simplify right side
    520.64x = 300,011.06
  5. Step 5: Solve for x
    x = 300,011.06/520.64
  6. Step 6: Final answer
    x = 576.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.