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Finding the Fourth Proportional to 497.03, 741.91 and 460.89

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Solution

The fourth proportional to 497.03, 741.91 and 460.89 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.03 : 741.91 = 460.89 : x
  2. Step 2: Convert to fraction form
    497.03/741.91 = 460.89/x
  3. Step 3: Cross multiply
    497.03x = 741.91 × 460.89
  4. Step 4: Simplify right side
    497.03x = 341,935.23
  5. Step 5: Solve for x
    x = 341,935.23/497.03
  6. Step 6: Final answer
    x = 687.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.