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Finding the Fourth Proportional to 355.88, 536.56 and 284.60

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Solution

The fourth proportional to 355.88, 536.56 and 284.60 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.88 : 536.56 = 284.60 : x
  2. Step 2: Convert to fraction form
    355.88/536.56 = 284.60/x
  3. Step 3: Cross multiply
    355.88x = 536.56 × 284.60
  4. Step 4: Simplify right side
    355.88x = 152,702.65
  5. Step 5: Solve for x
    x = 152,702.65/355.88
  6. Step 6: Final answer
    x = 429.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.