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Finding the Fourth Proportional to 568.17, 785.07 and 420.54

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Solution

The fourth proportional to 568.17, 785.07 and 420.54 is: 581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.17 : 785.07 = 420.54 : x
  2. Step 2: Convert to fraction form
    568.17/785.07 = 420.54/x
  3. Step 3: Cross multiply
    568.17x = 785.07 × 420.54
  4. Step 4: Simplify right side
    568.17x = 330,153.34
  5. Step 5: Solve for x
    x = 330,153.34/568.17
  6. Step 6: Final answer
    x = 581.08

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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.