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Finding the Fourth Proportional to 468.78, 703.62 and 417.06

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Solution

The fourth proportional to 468.78, 703.62 and 417.06 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 703.62 = 417.06 : x
  2. Step 2: Convert to fraction form
    468.78/703.62 = 417.06/x
  3. Step 3: Cross multiply
    468.78x = 703.62 × 417.06
  4. Step 4: Simplify right side
    468.78x = 293,451.76
  5. Step 5: Solve for x
    x = 293,451.76/468.78
  6. Step 6: Final answer
    x = 625.99

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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.