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Finding the Fourth Proportional to 595.16, 821.34 and 359.18

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Solution

The fourth proportional to 595.16, 821.34 and 359.18 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 821.34 = 359.18 : x
  2. Step 2: Convert to fraction form
    595.16/821.34 = 359.18/x
  3. Step 3: Cross multiply
    595.16x = 821.34 × 359.18
  4. Step 4: Simplify right side
    595.16x = 295,004.79
  5. Step 5: Solve for x
    x = 295,004.79/595.16
  6. Step 6: Final answer
    x = 495.68

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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.