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Finding the Fourth Proportional to 597.53, 824.78 and 429.63

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Solution

The fourth proportional to 597.53, 824.78 and 429.63 is: 593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 824.78 = 429.63 : x
  2. Step 2: Convert to fraction form
    597.53/824.78 = 429.63/x
  3. Step 3: Cross multiply
    597.53x = 824.78 × 429.63
  4. Step 4: Simplify right side
    597.53x = 354,350.23
  5. Step 5: Solve for x
    x = 354,350.23/597.53
  6. Step 6: Final answer
    x = 593.03

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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.