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Finding the Fourth Proportional to 586.45, 808.28 and 428.84

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Solution

The fourth proportional to 586.45, 808.28 and 428.84 is: 591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.45 : 808.28 = 428.84 : x
  2. Step 2: Convert to fraction form
    586.45/808.28 = 428.84/x
  3. Step 3: Cross multiply
    586.45x = 808.28 × 428.84
  4. Step 4: Simplify right side
    586.45x = 346,616.61
  5. Step 5: Solve for x
    x = 346,616.61/586.45
  6. Step 6: Final answer
    x = 591.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.