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Finding the Fourth Proportional to 590.02, 814.16 and 383.02

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Solution

The fourth proportional to 590.02, 814.16 and 383.02 is: 528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 814.16 = 383.02 : x
  2. Step 2: Convert to fraction form
    590.02/814.16 = 383.02/x
  3. Step 3: Cross multiply
    590.02x = 814.16 × 383.02
  4. Step 4: Simplify right side
    590.02x = 311,839.56
  5. Step 5: Solve for x
    x = 311,839.56/590.02
  6. Step 6: Final answer
    x = 528.52

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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.