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Finding the Fourth Proportional to 407.14, 561.93 and 265.53

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Solution

The fourth proportional to 407.14, 561.93 and 265.53 is: 366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 561.93 = 265.53 : x
  2. Step 2: Convert to fraction form
    407.14/561.93 = 265.53/x
  3. Step 3: Cross multiply
    407.14x = 561.93 × 265.53
  4. Step 4: Simplify right side
    407.14x = 149,209.27
  5. Step 5: Solve for x
    x = 149,209.27/407.14
  6. Step 6: Final answer
    x = 366.48

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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.