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Finding the Fourth Proportional to 531.78, 734.04 and 384.36

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Solution

The fourth proportional to 531.78, 734.04 and 384.36 is: 530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 734.04 = 384.36 : x
  2. Step 2: Convert to fraction form
    531.78/734.04 = 384.36/x
  3. Step 3: Cross multiply
    531.78x = 734.04 × 384.36
  4. Step 4: Simplify right side
    531.78x = 282,135.61
  5. Step 5: Solve for x
    x = 282,135.61/531.78
  6. Step 6: Final answer
    x = 530.55

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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.