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Finding the Fourth Proportional to 458.95, 688.77 and 285.87

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Solution

The fourth proportional to 458.95, 688.77 and 285.87 is: 429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.95 : 688.77 = 285.87 : x
  2. Step 2: Convert to fraction form
    458.95/688.77 = 285.87/x
  3. Step 3: Cross multiply
    458.95x = 688.77 × 285.87
  4. Step 4: Simplify right side
    458.95x = 196,897.25
  5. Step 5: Solve for x
    x = 196,897.25/458.95
  6. Step 6: Final answer
    x = 429.02

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