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Finding the Fourth Proportional to 388.20, 536.01 and 305.16

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Solution

The fourth proportional to 388.20, 536.01 and 305.16 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.20 : 536.01 = 305.16 : x
  2. Step 2: Convert to fraction form
    388.20/536.01 = 305.16/x
  3. Step 3: Cross multiply
    388.20x = 536.01 × 305.16
  4. Step 4: Simplify right side
    388.20x = 163,568.81
  5. Step 5: Solve for x
    x = 163,568.81/388.20
  6. Step 6: Final answer
    x = 421.35

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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.