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Finding the Fourth Proportional to 666.08, 918.59 and 417.43

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Solution

The fourth proportional to 666.08, 918.59 and 417.43 is: 575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.08 : 918.59 = 417.43 : x
  2. Step 2: Convert to fraction form
    666.08/918.59 = 417.43/x
  3. Step 3: Cross multiply
    666.08x = 918.59 × 417.43
  4. Step 4: Simplify right side
    666.08x = 383,442.43
  5. Step 5: Solve for x
    x = 383,442.43/666.08
  6. Step 6: Final answer
    x = 575.67

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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.