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Finding the Fourth Proportional to 500.54, 750.18 and 295.25

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Solution

The fourth proportional to 500.54, 750.18 and 295.25 is: 442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.54 : 750.18 = 295.25 : x
  2. Step 2: Convert to fraction form
    500.54/750.18 = 295.25/x
  3. Step 3: Cross multiply
    500.54x = 750.18 × 295.25
  4. Step 4: Simplify right side
    500.54x = 221,486.89
  5. Step 5: Solve for x
    x = 221,486.89/500.54
  6. Step 6: Final answer
    x = 442.50

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1.5x scale

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.