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Finding the Fourth Proportional to 357.47, 536.30 and 284.62

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Solution

The fourth proportional to 357.47, 536.30 and 284.62 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.47 : 536.30 = 284.62 : x
  2. Step 2: Convert to fraction form
    357.47/536.30 = 284.62/x
  3. Step 3: Cross multiply
    357.47x = 536.30 × 284.62
  4. Step 4: Simplify right side
    357.47x = 152,641.71
  5. Step 5: Solve for x
    x = 152,641.71/357.47
  6. Step 6: Final answer
    x = 427.01

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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.