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Finding the Fourth Proportional to 568.90, 785.08 and 348.00

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Solution

The fourth proportional to 568.90, 785.08 and 348.00 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.90 : 785.08 = 348.00 : x
  2. Step 2: Convert to fraction form
    568.90/785.08 = 348.00/x
  3. Step 3: Cross multiply
    568.90x = 785.08 × 348.00
  4. Step 4: Simplify right side
    568.90x = 273,204.84
  5. Step 5: Solve for x
    x = 273,204.84/568.90
  6. Step 6: Final answer
    x = 480.23

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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.