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Finding the Fourth Proportional to 476.65, 713.86 and 463.51

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Solution

The fourth proportional to 476.65, 713.86 and 463.51 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 713.86 = 463.51 : x
  2. Step 2: Convert to fraction form
    476.65/713.86 = 463.51/x
  3. Step 3: Cross multiply
    476.65x = 713.86 × 463.51
  4. Step 4: Simplify right side
    476.65x = 330,881.25
  5. Step 5: Solve for x
    x = 330,881.25/476.65
  6. Step 6: Final answer
    x = 694.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.