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Finding the Fourth Proportional to 501.58, 751.56 and 284.50

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Solution

The fourth proportional to 501.58, 751.56 and 284.50 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.58 : 751.56 = 284.50 : x
  2. Step 2: Convert to fraction form
    501.58/751.56 = 284.50/x
  3. Step 3: Cross multiply
    501.58x = 751.56 × 284.50
  4. Step 4: Simplify right side
    501.58x = 213,818.82
  5. Step 5: Solve for x
    x = 213,818.82/501.58
  6. Step 6: Final answer
    x = 426.29

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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.