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Finding the Fourth Proportional to 500.54, 749.98 and 295.07

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Solution

The fourth proportional to 500.54, 749.98 and 295.07 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.54 : 749.98 = 295.07 : x
  2. Step 2: Convert to fraction form
    500.54/749.98 = 295.07/x
  3. Step 3: Cross multiply
    500.54x = 749.98 × 295.07
  4. Step 4: Simplify right side
    500.54x = 221,296.60
  5. Step 5: Solve for x
    x = 221,296.60/500.54
  6. Step 6: Final answer
    x = 442.12

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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.