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Finding the Fourth Proportional to 595.55, 821.32 and 399.32

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Solution

The fourth proportional to 595.55, 821.32 and 399.32 is: 550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.55 : 821.32 = 399.32 : x
  2. Step 2: Convert to fraction form
    595.55/821.32 = 399.32/x
  3. Step 3: Cross multiply
    595.55x = 821.32 × 399.32
  4. Step 4: Simplify right side
    595.55x = 327,969.50
  5. Step 5: Solve for x
    x = 327,969.50/595.55
  6. Step 6: Final answer
    x = 550.70

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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.