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Finding the Fourth Proportional to 589.67, 813.74 and 403.16

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Solution

The fourth proportional to 589.67, 813.74 and 403.16 is: 556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.67 : 813.74 = 403.16 : x
  2. Step 2: Convert to fraction form
    589.67/813.74 = 403.16/x
  3. Step 3: Cross multiply
    589.67x = 813.74 × 403.16
  4. Step 4: Simplify right side
    589.67x = 328,063.60
  5. Step 5: Solve for x
    x = 328,063.60/589.67
  6. Step 6: Final answer
    x = 556.35

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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.