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Finding the Fourth Proportional to 289.42, 434.40 and 207.88

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Solution

The fourth proportional to 289.42, 434.40 and 207.88 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 434.40 = 207.88 : x
  2. Step 2: Convert to fraction form
    289.42/434.40 = 207.88/x
  3. Step 3: Cross multiply
    289.42x = 434.40 × 207.88
  4. Step 4: Simplify right side
    289.42x = 90,303.07
  5. Step 5: Solve for x
    x = 90,303.07/289.42
  6. Step 6: Final answer
    x = 312.01

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Why These Related Problems?

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