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Finding the Fourth Proportional to 476.09, 713.10 and 464.47

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Solution

The fourth proportional to 476.09, 713.10 and 464.47 is: 695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 713.10 = 464.47 : x
  2. Step 2: Convert to fraction form
    476.09/713.10 = 464.47/x
  3. Step 3: Cross multiply
    476.09x = 713.10 × 464.47
  4. Step 4: Simplify right side
    476.09x = 331,212.71
  5. Step 5: Solve for x
    x = 331,212.71/476.09
  6. Step 6: Final answer
    x = 695.70

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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.