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Finding the Fourth Proportional to 590.12, 814.16 and 368.99

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Solution

The fourth proportional to 590.12, 814.16 and 368.99 is: 509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.12 : 814.16 = 368.99 : x
  2. Step 2: Convert to fraction form
    590.12/814.16 = 368.99/x
  3. Step 3: Cross multiply
    590.12x = 814.16 × 368.99
  4. Step 4: Simplify right side
    590.12x = 300,416.90
  5. Step 5: Solve for x
    x = 300,416.90/590.12
  6. Step 6: Final answer
    x = 509.08

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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.