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Finding the Fourth Proportional to 384.32, 530.52 and 253.28

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Solution

The fourth proportional to 384.32, 530.52 and 253.28 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 530.52 = 253.28 : x
  2. Step 2: Convert to fraction form
    384.32/530.52 = 253.28/x
  3. Step 3: Cross multiply
    384.32x = 530.52 × 253.28
  4. Step 4: Simplify right side
    384.32x = 134,370.11
  5. Step 5: Solve for x
    x = 134,370.11/384.32
  6. Step 6: Final answer
    x = 349.63

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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.