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Finding the Fourth Proportional to 582.69, 873.11 and 466.53

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Solution

The fourth proportional to 582.69, 873.11 and 466.53 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 873.11 = 466.53 : x
  2. Step 2: Convert to fraction form
    582.69/873.11 = 466.53/x
  3. Step 3: Cross multiply
    582.69x = 873.11 × 466.53
  4. Step 4: Simplify right side
    582.69x = 407,329.90
  5. Step 5: Solve for x
    x = 407,329.90/582.69
  6. Step 6: Final answer
    x = 699.05

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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.