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Finding the Fourth Proportional to 407.56, 561.65 and 296.86

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Solution

The fourth proportional to 407.56, 561.65 and 296.86 is: 409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.56 : 561.65 = 296.86 : x
  2. Step 2: Convert to fraction form
    407.56/561.65 = 296.86/x
  3. Step 3: Cross multiply
    407.56x = 561.65 × 296.86
  4. Step 4: Simplify right side
    407.56x = 166,731.42
  5. Step 5: Solve for x
    x = 166,731.42/407.56
  6. Step 6: Final answer
    x = 409.10

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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.