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Finding the Fourth Proportional to 557.84, 769.81 and 309.16

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Solution

The fourth proportional to 557.84, 769.81 and 309.16 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.84 : 769.81 = 309.16 : x
  2. Step 2: Convert to fraction form
    557.84/769.81 = 309.16/x
  3. Step 3: Cross multiply
    557.84x = 769.81 × 309.16
  4. Step 4: Simplify right side
    557.84x = 237,994.46
  5. Step 5: Solve for x
    x = 237,994.46/557.84
  6. Step 6: Final answer
    x = 426.64

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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.