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Finding the Fourth Proportional to 567.92, 782.76 and 428

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Solution

The fourth proportional to 567.92, 782.76 and 428 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 782.76 = 428 : x
  2. Step 2: Convert to fraction form
    567.92/782.76 = 428/x
  3. Step 3: Cross multiply
    567.92x = 782.76 × 428
  4. Step 4: Simplify right side
    567.92x = 335,021.28
  5. Step 5: Solve for x
    x = 335,021.28/567.92
  6. Step 6: Final answer
    x = 589.91

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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.