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Finding the Fourth Proportional to 567.01, 782.35 and 334

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Solution

The fourth proportional to 567.01, 782.35 and 334 is: 460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.01 : 782.35 = 334 : x
  2. Step 2: Convert to fraction form
    567.01/782.35 = 334/x
  3. Step 3: Cross multiply
    567.01x = 782.35 × 334
  4. Step 4: Simplify right side
    567.01x = 261,304.90
  5. Step 5: Solve for x
    x = 261,304.90/567.01
  6. Step 6: Final answer
    x = 460.85

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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.