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Finding the Fourth Proportional to 590.02, 813.31 and 368.57

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Solution

The fourth proportional to 590.02, 813.31 and 368.57 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 813.31 = 368.57 : x
  2. Step 2: Convert to fraction form
    590.02/813.31 = 368.57/x
  3. Step 3: Cross multiply
    590.02x = 813.31 × 368.57
  4. Step 4: Simplify right side
    590.02x = 299,762.78
  5. Step 5: Solve for x
    x = 299,762.78/590.02
  6. Step 6: Final answer
    x = 508.06

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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.