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Finding the Fourth Proportional to 400.08, 598.32 and 357

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Solution

The fourth proportional to 400.08, 598.32 and 357 is: 533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 598.32 = 357 : x
  2. Step 2: Convert to fraction form
    400.08/598.32 = 357/x
  3. Step 3: Cross multiply
    400.08x = 598.32 × 357
  4. Step 4: Simplify right side
    400.08x = 213,600.24
  5. Step 5: Solve for x
    x = 213,600.24/400.08
  6. Step 6: Final answer
    x = 533.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.