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Finding the Fourth Proportional to 532.30, 733.80 and 384.67

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Solution

The fourth proportional to 532.30, 733.80 and 384.67 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 733.80 = 384.67 : x
  2. Step 2: Convert to fraction form
    532.30/733.80 = 384.67/x
  3. Step 3: Cross multiply
    532.30x = 733.80 × 384.67
  4. Step 4: Simplify right side
    532.30x = 282,270.85
  5. Step 5: Solve for x
    x = 282,270.85/532.30
  6. Step 6: Final answer
    x = 530.29

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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.