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Finding the Fourth Proportional to 582.55, 872.66 and 350.74

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Solution

The fourth proportional to 582.55, 872.66 and 350.74 is: 525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.55 : 872.66 = 350.74 : x
  2. Step 2: Convert to fraction form
    582.55/872.66 = 350.74/x
  3. Step 3: Cross multiply
    582.55x = 872.66 × 350.74
  4. Step 4: Simplify right side
    582.55x = 306,071.85
  5. Step 5: Solve for x
    x = 306,071.85/582.55
  6. Step 6: Final answer
    x = 525.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.