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Finding the Fourth Proportional to 639.93, 882.88 and 419.00

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Solution

The fourth proportional to 639.93, 882.88 and 419.00 is: 578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.93 : 882.88 = 419.00 : x
  2. Step 2: Convert to fraction form
    639.93/882.88 = 419.00/x
  3. Step 3: Cross multiply
    639.93x = 882.88 × 419.00
  4. Step 4: Simplify right side
    639.93x = 369,927.88
  5. Step 5: Solve for x
    x = 369,927.88/639.93
  6. Step 6: Final answer
    x = 578.08

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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.