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Finding the Fourth Proportional to 567.97, 783.83 and 332.07

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Solution

The fourth proportional to 567.97, 783.83 and 332.07 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 783.83 = 332.07 : x
  2. Step 2: Convert to fraction form
    567.97/783.83 = 332.07/x
  3. Step 3: Cross multiply
    567.97x = 783.83 × 332.07
  4. Step 4: Simplify right side
    567.97x = 260,289.06
  5. Step 5: Solve for x
    x = 260,289.06/567.97
  6. Step 6: Final answer
    x = 458.28

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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.