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Finding the Fourth Proportional to 653.24, 901.32 and 420.32

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Solution

The fourth proportional to 653.24, 901.32 and 420.32 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 901.32 = 420.32 : x
  2. Step 2: Convert to fraction form
    653.24/901.32 = 420.32/x
  3. Step 3: Cross multiply
    653.24x = 901.32 × 420.32
  4. Step 4: Simplify right side
    653.24x = 378,842.82
  5. Step 5: Solve for x
    x = 378,842.82/653.24
  6. Step 6: Final answer
    x = 579.94

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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.