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Finding the Fourth Proportional to 593.04, 817.52 and 446.16

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Solution

The fourth proportional to 593.04, 817.52 and 446.16 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 817.52 = 446.16 : x
  2. Step 2: Convert to fraction form
    593.04/817.52 = 446.16/x
  3. Step 3: Cross multiply
    593.04x = 817.52 × 446.16
  4. Step 4: Simplify right side
    593.04x = 364,744.72
  5. Step 5: Solve for x
    x = 364,744.72/593.04
  6. Step 6: Final answer
    x = 615.04

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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.