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Finding the Fourth Proportional to 607.30, 837.76 and 410.88

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Solution

The fourth proportional to 607.30, 837.76 and 410.88 is: 566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.30 : 837.76 = 410.88 : x
  2. Step 2: Convert to fraction form
    607.30/837.76 = 410.88/x
  3. Step 3: Cross multiply
    607.30x = 837.76 × 410.88
  4. Step 4: Simplify right side
    607.30x = 344,218.83
  5. Step 5: Solve for x
    x = 344,218.83/607.30
  6. Step 6: Final answer
    x = 566.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.