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Finding the Fourth Proportional to 507.32, 698.38 and 445.04

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Solution

The fourth proportional to 507.32, 698.38 and 445.04 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 698.38 = 445.04 : x
  2. Step 2: Convert to fraction form
    507.32/698.38 = 445.04/x
  3. Step 3: Cross multiply
    507.32x = 698.38 × 445.04
  4. Step 4: Simplify right side
    507.32x = 310,802.43
  5. Step 5: Solve for x
    x = 310,802.43/507.32
  6. Step 6: Final answer
    x = 612.64

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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.