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Finding the Fourth Proportional to 369.92, 510.40 and 259.84

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Solution

The fourth proportional to 369.92, 510.40 and 259.84 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 510.40 = 259.84 : x
  2. Step 2: Convert to fraction form
    369.92/510.40 = 259.84/x
  3. Step 3: Cross multiply
    369.92x = 510.40 × 259.84
  4. Step 4: Simplify right side
    369.92x = 132,622.34
  5. Step 5: Solve for x
    x = 132,622.34/369.92
  6. Step 6: Final answer
    x = 358.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.