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Finding the Fourth Proportional to 597.12, 894.96 and 532.32

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Solution

The fourth proportional to 597.12, 894.96 and 532.32 is: 797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 894.96 = 532.32 : x
  2. Step 2: Convert to fraction form
    597.12/894.96 = 532.32/x
  3. Step 3: Cross multiply
    597.12x = 894.96 × 532.32
  4. Step 4: Simplify right side
    597.12x = 476,405.11
  5. Step 5: Solve for x
    x = 476,405.11/597.12
  6. Step 6: Final answer
    x = 797.84

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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.