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Finding the Fourth Proportional to 380.32, 524.64 and 264.16

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Solution

The fourth proportional to 380.32, 524.64 and 264.16 is: 364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 524.64 = 264.16 : x
  2. Step 2: Convert to fraction form
    380.32/524.64 = 264.16/x
  3. Step 3: Cross multiply
    380.32x = 524.64 × 264.16
  4. Step 4: Simplify right side
    380.32x = 138,588.90
  5. Step 5: Solve for x
    x = 138,588.90/380.32
  6. Step 6: Final answer
    x = 364.40

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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.