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Finding the Fourth Proportional to 649.08, 973.53 and 341.10

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Solution

The fourth proportional to 649.08, 973.53 and 341.10 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.08 : 973.53 = 341.10 : x
  2. Step 2: Convert to fraction form
    649.08/973.53 = 341.10/x
  3. Step 3: Cross multiply
    649.08x = 973.53 × 341.10
  4. Step 4: Simplify right side
    649.08x = 332,071.08
  5. Step 5: Solve for x
    x = 332,071.08/649.08
  6. Step 6: Final answer
    x = 511.60

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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.