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Finding the Fourth Proportional to 606, 910 and 561.10

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Solution

The fourth proportional to 606, 910 and 561.10 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 910 = 561.10 : x
  2. Step 2: Convert to fraction form
    606/910 = 561.10/x
  3. Step 3: Cross multiply
    606x = 910 × 561.10
  4. Step 4: Simplify right side
    606x = 510,601
  5. Step 5: Solve for x
    x = 510,601/606
  6. Step 6: Final answer
    x = 842.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.