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Finding the Fourth Proportional to 458.94, 687.64 and 362.08

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Solution

The fourth proportional to 458.94, 687.64 and 362.08 is: 542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 687.64 = 362.08 : x
  2. Step 2: Convert to fraction form
    458.94/687.64 = 362.08/x
  3. Step 3: Cross multiply
    458.94x = 687.64 × 362.08
  4. Step 4: Simplify right side
    458.94x = 248,980.69
  5. Step 5: Solve for x
    x = 248,980.69/458.94
  6. Step 6: Final answer
    x = 542.51

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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.