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Finding the Fourth Proportional to 355.07, 531.29 and 285.45

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Solution

The fourth proportional to 355.07, 531.29 and 285.45 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 531.29 = 285.45 : x
  2. Step 2: Convert to fraction form
    355.07/531.29 = 285.45/x
  3. Step 3: Cross multiply
    355.07x = 531.29 × 285.45
  4. Step 4: Simplify right side
    355.07x = 151,655.30
  5. Step 5: Solve for x
    x = 151,655.30/355.07
  6. Step 6: Final answer
    x = 427.12

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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.