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Finding the Fourth Proportional to 458.84, 690.90 and 337.94

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Solution

The fourth proportional to 458.84, 690.90 and 337.94 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 690.90 = 337.94 : x
  2. Step 2: Convert to fraction form
    458.84/690.90 = 337.94/x
  3. Step 3: Cross multiply
    458.84x = 690.90 × 337.94
  4. Step 4: Simplify right side
    458.84x = 233,482.75
  5. Step 5: Solve for x
    x = 233,482.75/458.84
  6. Step 6: Final answer
    x = 508.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.