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Finding the Fourth Proportional to 666.00, 919.35 and 417.26

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Solution

The fourth proportional to 666.00, 919.35 and 417.26 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.00 : 919.35 = 417.26 : x
  2. Step 2: Convert to fraction form
    666.00/919.35 = 417.26/x
  3. Step 3: Cross multiply
    666.00x = 919.35 × 417.26
  4. Step 4: Simplify right side
    666.00x = 383,603.38
  5. Step 5: Solve for x
    x = 383,603.38/666.00
  6. Step 6: Final answer
    x = 575.99

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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.