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Finding the Fourth Proportional to 735.45, 1,015.24 and 470.25

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Solution

The fourth proportional to 735.45, 1,015.24 and 470.25 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,015.24 = 470.25 : x
  2. Step 2: Convert to fraction form
    735.45/1,015.24 = 470.25/x
  3. Step 3: Cross multiply
    735.45x = 1,015.24 × 470.25
  4. Step 4: Simplify right side
    735.45x = 477,415.93
  5. Step 5: Solve for x
    x = 477,415.93/735.45
  6. Step 6: Final answer
    x = 649.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.