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Finding the Fourth Proportional to 505.60, 758.37 and 217.01

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Solution

The fourth proportional to 505.60, 758.37 and 217.01 is: 325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 758.37 = 217.01 : x
  2. Step 2: Convert to fraction form
    505.60/758.37 = 217.01/x
  3. Step 3: Cross multiply
    505.60x = 758.37 × 217.01
  4. Step 4: Simplify right side
    505.60x = 164,573.87
  5. Step 5: Solve for x
    x = 164,573.87/505.60
  6. Step 6: Final answer
    x = 325.50

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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.