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Finding the Fourth Proportional to 590.10, 813.71 and 368.99

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Solution

The fourth proportional to 590.10, 813.71 and 368.99 is: 508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 813.71 = 368.99 : x
  2. Step 2: Convert to fraction form
    590.10/813.71 = 368.99/x
  3. Step 3: Cross multiply
    590.10x = 813.71 × 368.99
  4. Step 4: Simplify right side
    590.10x = 300,249.01
  5. Step 5: Solve for x
    x = 300,249.01/590.10
  6. Step 6: Final answer
    x = 508.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.