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Finding the Fourth Proportional to 586.38, 803.40 and 578.69

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Solution

The fourth proportional to 586.38, 803.40 and 578.69 is: 792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 803.40 = 578.69 : x
  2. Step 2: Convert to fraction form
    586.38/803.40 = 578.69/x
  3. Step 3: Cross multiply
    586.38x = 803.40 × 578.69
  4. Step 4: Simplify right side
    586.38x = 464,915.53
  5. Step 5: Solve for x
    x = 464,915.53/586.38
  6. Step 6: Final answer
    x = 792.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.