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Finding the Fourth Proportional to 407.35, 561.90 and 289.16

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Solution

The fourth proportional to 407.35, 561.90 and 289.16 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.35 : 561.90 = 289.16 : x
  2. Step 2: Convert to fraction form
    407.35/561.90 = 289.16/x
  3. Step 3: Cross multiply
    407.35x = 561.90 × 289.16
  4. Step 4: Simplify right side
    407.35x = 162,479.00
  5. Step 5: Solve for x
    x = 162,479.00/407.35
  6. Step 6: Final answer
    x = 398.87

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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.