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Finding the Fourth Proportional to 666.72, 919.35 and 417.74

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Solution

The fourth proportional to 666.72, 919.35 and 417.74 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.72 : 919.35 = 417.74 : x
  2. Step 2: Convert to fraction form
    666.72/919.35 = 417.74/x
  3. Step 3: Cross multiply
    666.72x = 919.35 × 417.74
  4. Step 4: Simplify right side
    666.72x = 384,044.67
  5. Step 5: Solve for x
    x = 384,044.67/666.72
  6. Step 6: Final answer
    x = 576.02

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