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Finding the Fourth Proportional to 597.32, 894.78 and 500.78

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Solution

The fourth proportional to 597.32, 894.78 and 500.78 is: 750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 894.78 = 500.78 : x
  2. Step 2: Convert to fraction form
    597.32/894.78 = 500.78/x
  3. Step 3: Cross multiply
    597.32x = 894.78 × 500.78
  4. Step 4: Simplify right side
    597.32x = 448,087.93
  5. Step 5: Solve for x
    x = 448,087.93/597.32
  6. Step 6: Final answer
    x = 750.16

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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.