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Finding the Fourth Proportional to 569, 785.28 and 362

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Solution

The fourth proportional to 569, 785.28 and 362 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 785.28 = 362 : x
  2. Step 2: Convert to fraction form
    569/785.28 = 362/x
  3. Step 3: Cross multiply
    569x = 785.28 × 362
  4. Step 4: Simplify right side
    569x = 284,271.36
  5. Step 5: Solve for x
    x = 284,271.36/569
  6. Step 6: Final answer
    x = 499.60

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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.