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Finding the Fourth Proportional to 369.96, 510.65 and 230.00

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Solution

The fourth proportional to 369.96, 510.65 and 230.00 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 510.65 = 230.00 : x
  2. Step 2: Convert to fraction form
    369.96/510.65 = 230.00/x
  3. Step 3: Cross multiply
    369.96x = 510.65 × 230.00
  4. Step 4: Simplify right side
    369.96x = 117,445.80
  5. Step 5: Solve for x
    x = 117,445.80/369.96
  6. Step 6: Final answer
    x = 317.46

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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.