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Finding the Fourth Proportional to 384.08, 529.88 and 253.16

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Solution

The fourth proportional to 384.08, 529.88 and 253.16 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 529.88 = 253.16 : x
  2. Step 2: Convert to fraction form
    384.08/529.88 = 253.16/x
  3. Step 3: Cross multiply
    384.08x = 529.88 × 253.16
  4. Step 4: Simplify right side
    384.08x = 134,144.42
  5. Step 5: Solve for x
    x = 134,144.42/384.08
  6. Step 6: Final answer
    x = 349.26

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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.