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Finding the Fourth Proportional to 620.32, 856.38 and 424.12

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Solution

The fourth proportional to 620.32, 856.38 and 424.12 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.32 : 856.38 = 424.12 : x
  2. Step 2: Convert to fraction form
    620.32/856.38 = 424.12/x
  3. Step 3: Cross multiply
    620.32x = 856.38 × 424.12
  4. Step 4: Simplify right side
    620.32x = 363,207.89
  5. Step 5: Solve for x
    x = 363,207.89/620.32
  6. Step 6: Final answer
    x = 585.52

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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.