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Finding the Fourth Proportional to 567.71, 783.41 and 318.99

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Solution

The fourth proportional to 567.71, 783.41 and 318.99 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.71 : 783.41 = 318.99 : x
  2. Step 2: Convert to fraction form
    567.71/783.41 = 318.99/x
  3. Step 3: Cross multiply
    567.71x = 783.41 × 318.99
  4. Step 4: Simplify right side
    567.71x = 249,896.89
  5. Step 5: Solve for x
    x = 249,896.89/567.71
  6. Step 6: Final answer
    x = 440.19

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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.