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Finding the Fourth Proportional to 469.84, 647.81 and 303.99

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Solution

The fourth proportional to 469.84, 647.81 and 303.99 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 647.81 = 303.99 : x
  2. Step 2: Convert to fraction form
    469.84/647.81 = 303.99/x
  3. Step 3: Cross multiply
    469.84x = 647.81 × 303.99
  4. Step 4: Simplify right side
    469.84x = 196,927.76
  5. Step 5: Solve for x
    x = 196,927.76/469.84
  6. Step 6: Final answer
    x = 419.14

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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.