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Finding the Fourth Proportional to 567.47, 783.12 and 318.81

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Solution

The fourth proportional to 567.47, 783.12 and 318.81 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.47 : 783.12 = 318.81 : x
  2. Step 2: Convert to fraction form
    567.47/783.12 = 318.81/x
  3. Step 3: Cross multiply
    567.47x = 783.12 × 318.81
  4. Step 4: Simplify right side
    567.47x = 249,660.98
  5. Step 5: Solve for x
    x = 249,660.98/567.47
  6. Step 6: Final answer
    x = 439.96

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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.