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Finding the Fourth Proportional to 357.40, 536.22 and 284.92

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Solution

The fourth proportional to 357.40, 536.22 and 284.92 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 536.22 = 284.92 : x
  2. Step 2: Convert to fraction form
    357.40/536.22 = 284.92/x
  3. Step 3: Cross multiply
    357.40x = 536.22 × 284.92
  4. Step 4: Simplify right side
    357.40x = 152,779.80
  5. Step 5: Solve for x
    x = 152,779.80/357.40
  6. Step 6: Final answer
    x = 427.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.