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Finding the Fourth Proportional to 597.47, 824.66 and 364.79

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Solution

The fourth proportional to 597.47, 824.66 and 364.79 is: 503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.47 : 824.66 = 364.79 : x
  2. Step 2: Convert to fraction form
    597.47/824.66 = 364.79/x
  3. Step 3: Cross multiply
    597.47x = 824.66 × 364.79
  4. Step 4: Simplify right side
    597.47x = 300,825.90
  5. Step 5: Solve for x
    x = 300,825.90/597.47
  6. Step 6: Final answer
    x = 503.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.