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Finding the Fourth Proportional to 597.56, 896.98 and 507.16

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Solution

The fourth proportional to 597.56, 896.98 and 507.16 is: 761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 896.98 = 507.16 : x
  2. Step 2: Convert to fraction form
    597.56/896.98 = 507.16/x
  3. Step 3: Cross multiply
    597.56x = 896.98 × 507.16
  4. Step 4: Simplify right side
    597.56x = 454,912.38
  5. Step 5: Solve for x
    x = 454,912.38/597.56
  6. Step 6: Final answer
    x = 761.28

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Why These Related Problems?

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