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Finding the Fourth Proportional to 612.04, 916.01 and 416.24

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Solution

The fourth proportional to 612.04, 916.01 and 416.24 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.04 : 916.01 = 416.24 : x
  2. Step 2: Convert to fraction form
    612.04/916.01 = 416.24/x
  3. Step 3: Cross multiply
    612.04x = 916.01 × 416.24
  4. Step 4: Simplify right side
    612.04x = 381,278.34
  5. Step 5: Solve for x
    x = 381,278.34/612.04
  6. Step 6: Final answer
    x = 622.96

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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.