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Finding the Fourth Proportional to 731.50, 1,009.50 and 421

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Solution

The fourth proportional to 731.50, 1,009.50 and 421 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.50 : 1,009.50 = 421 : x
  2. Step 2: Convert to fraction form
    731.50/1,009.50 = 421/x
  3. Step 3: Cross multiply
    731.50x = 1,009.50 × 421
  4. Step 4: Simplify right side
    731.50x = 424,999.50
  5. Step 5: Solve for x
    x = 424,999.50/731.50
  6. Step 6: Final answer
    x = 581.00

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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.