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Finding the Fourth Proportional to 649.24, 977.90 and 604.16

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Solution

The fourth proportional to 649.24, 977.90 and 604.16 is: 910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 977.90 = 604.16 : x
  2. Step 2: Convert to fraction form
    649.24/977.90 = 604.16/x
  3. Step 3: Cross multiply
    649.24x = 977.90 × 604.16
  4. Step 4: Simplify right side
    649.24x = 590,808.06
  5. Step 5: Solve for x
    x = 590,808.06/649.24
  6. Step 6: Final answer
    x = 910.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.