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Finding the Fourth Proportional to 561.39, 841.46 and 287.09

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Solution

The fourth proportional to 561.39, 841.46 and 287.09 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.39 : 841.46 = 287.09 : x
  2. Step 2: Convert to fraction form
    561.39/841.46 = 287.09/x
  3. Step 3: Cross multiply
    561.39x = 841.46 × 287.09
  4. Step 4: Simplify right side
    561.39x = 241,569.11
  5. Step 5: Solve for x
    x = 241,569.11/561.39
  6. Step 6: Final answer
    x = 430.31

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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.