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Finding the Fourth Proportional to 597.53, 894.87 and 353.32

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Solution

The fourth proportional to 597.53, 894.87 and 353.32 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 894.87 = 353.32 : x
  2. Step 2: Convert to fraction form
    597.53/894.87 = 353.32/x
  3. Step 3: Cross multiply
    597.53x = 894.87 × 353.32
  4. Step 4: Simplify right side
    597.53x = 316,173.23
  5. Step 5: Solve for x
    x = 316,173.23/597.53
  6. Step 6: Final answer
    x = 529.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.