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Finding the Fourth Proportional to 477.84, 659.64 and 312.06

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Solution

The fourth proportional to 477.84, 659.64 and 312.06 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 659.64 = 312.06 : x
  2. Step 2: Convert to fraction form
    477.84/659.64 = 312.06/x
  3. Step 3: Cross multiply
    477.84x = 659.64 × 312.06
  4. Step 4: Simplify right side
    477.84x = 205,847.26
  5. Step 5: Solve for x
    x = 205,847.26/477.84
  6. Step 6: Final answer
    x = 430.79

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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.