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Finding the Fourth Proportional to 597.66, 895.13 and 466.59

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Solution

The fourth proportional to 597.66, 895.13 and 466.59 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 895.13 = 466.59 : x
  2. Step 2: Convert to fraction form
    597.66/895.13 = 466.59/x
  3. Step 3: Cross multiply
    597.66x = 895.13 × 466.59
  4. Step 4: Simplify right side
    597.66x = 417,656.37
  5. Step 5: Solve for x
    x = 417,656.37/597.66
  6. Step 6: Final answer
    x = 698.82

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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.