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Finding the Fourth Proportional to 410.16, 618.24 and 384.72

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Solution

The fourth proportional to 410.16, 618.24 and 384.72 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 618.24 = 384.72 : x
  2. Step 2: Convert to fraction form
    410.16/618.24 = 384.72/x
  3. Step 3: Cross multiply
    410.16x = 618.24 × 384.72
  4. Step 4: Simplify right side
    410.16x = 237,849.29
  5. Step 5: Solve for x
    x = 237,849.29/410.16
  6. Step 6: Final answer
    x = 579.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.