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Finding the Fourth Proportional to 606.04, 832.10 and 512.40

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Solution

The fourth proportional to 606.04, 832.10 and 512.40 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.04 : 832.10 = 512.40 : x
  2. Step 2: Convert to fraction form
    606.04/832.10 = 512.40/x
  3. Step 3: Cross multiply
    606.04x = 832.10 × 512.40
  4. Step 4: Simplify right side
    606.04x = 426,368.04
  5. Step 5: Solve for x
    x = 426,368.04/606.04
  6. Step 6: Final answer
    x = 703.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.