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Finding the Fourth Proportional to 523.51, 784.69 and 318.03

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Solution

The fourth proportional to 523.51, 784.69 and 318.03 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.51 : 784.69 = 318.03 : x
  2. Step 2: Convert to fraction form
    523.51/784.69 = 318.03/x
  3. Step 3: Cross multiply
    523.51x = 784.69 × 318.03
  4. Step 4: Simplify right side
    523.51x = 249,554.96
  5. Step 5: Solve for x
    x = 249,554.96/523.51
  6. Step 6: Final answer
    x = 476.70

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