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Finding the Fourth Proportional to 561.63, 841.53 and 287.34

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Solution

The fourth proportional to 561.63, 841.53 and 287.34 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 841.53 = 287.34 : x
  2. Step 2: Convert to fraction form
    561.63/841.53 = 287.34/x
  3. Step 3: Cross multiply
    561.63x = 841.53 × 287.34
  4. Step 4: Simplify right side
    561.63x = 241,805.23
  5. Step 5: Solve for x
    x = 241,805.23/561.63
  6. Step 6: Final answer
    x = 430.54

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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.