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Finding the Fourth Proportional to 600.51, 829.24 and 503.01

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Solution

The fourth proportional to 600.51, 829.24 and 503.01 is: 694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.51 : 829.24 = 503.01 : x
  2. Step 2: Convert to fraction form
    600.51/829.24 = 503.01/x
  3. Step 3: Cross multiply
    600.51x = 829.24 × 503.01
  4. Step 4: Simplify right side
    600.51x = 417,114.75
  5. Step 5: Solve for x
    x = 417,114.75/600.51
  6. Step 6: Final answer
    x = 694.60

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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.