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Finding the Fourth Proportional to 353.58, 486.93 and 266.10

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Solution

The fourth proportional to 353.58, 486.93 and 266.10 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.58 : 486.93 = 266.10 : x
  2. Step 2: Convert to fraction form
    353.58/486.93 = 266.10/x
  3. Step 3: Cross multiply
    353.58x = 486.93 × 266.10
  4. Step 4: Simplify right side
    353.58x = 129,572.07
  5. Step 5: Solve for x
    x = 129,572.07/353.58
  6. Step 6: Final answer
    x = 366.46

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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.