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Finding the Fourth Proportional to 464.00, 639.90 and 415.40

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Solution

The fourth proportional to 464.00, 639.90 and 415.40 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 639.90 = 415.40 : x
  2. Step 2: Convert to fraction form
    464.00/639.90 = 415.40/x
  3. Step 3: Cross multiply
    464.00x = 639.90 × 415.40
  4. Step 4: Simplify right side
    464.00x = 265,811.26
  5. Step 5: Solve for x
    x = 265,811.26/464.00
  6. Step 6: Final answer
    x = 572.88

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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.