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Finding the Fourth Proportional to 597.41, 895.10 and 466.86

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Solution

The fourth proportional to 597.41, 895.10 and 466.86 is: 699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 895.10 = 466.86 : x
  2. Step 2: Convert to fraction form
    597.41/895.10 = 466.86/x
  3. Step 3: Cross multiply
    597.41x = 895.10 × 466.86
  4. Step 4: Simplify right side
    597.41x = 417,884.05
  5. Step 5: Solve for x
    x = 417,884.05/597.41
  6. Step 6: Final answer
    x = 699.50

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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.