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Finding the Fourth Proportional to 612.01, 916.80 and 380.35

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Solution

The fourth proportional to 612.01, 916.80 and 380.35 is: 569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.01 : 916.80 = 380.35 : x
  2. Step 2: Convert to fraction form
    612.01/916.80 = 380.35/x
  3. Step 3: Cross multiply
    612.01x = 916.80 × 380.35
  4. Step 4: Simplify right side
    612.01x = 348,704.88
  5. Step 5: Solve for x
    x = 348,704.88/612.01
  6. Step 6: Final answer
    x = 569.77

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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.