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Finding the Fourth Proportional to 369.84, 510.63 and 230.03

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Solution

The fourth proportional to 369.84, 510.63 and 230.03 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 510.63 = 230.03 : x
  2. Step 2: Convert to fraction form
    369.84/510.63 = 230.03/x
  3. Step 3: Cross multiply
    369.84x = 510.63 × 230.03
  4. Step 4: Simplify right side
    369.84x = 117,457.67
  5. Step 5: Solve for x
    x = 117,457.67/369.84
  6. Step 6: Final answer
    x = 317.59

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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.