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Finding the Fourth Proportional to 384.46, 530.14 and 253.24

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Solution

The fourth proportional to 384.46, 530.14 and 253.24 is: 349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.46 : 530.14 = 253.24 : x
  2. Step 2: Convert to fraction form
    384.46/530.14 = 253.24/x
  3. Step 3: Cross multiply
    384.46x = 530.14 × 253.24
  4. Step 4: Simplify right side
    384.46x = 134,248.74
  5. Step 5: Solve for x
    x = 134,248.74/384.46
  6. Step 6: Final answer
    x = 349.19

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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.