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Finding the Fourth Proportional to 586.53, 880.20 and 465.57

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Solution

The fourth proportional to 586.53, 880.20 and 465.57 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 880.20 = 465.57 : x
  2. Step 2: Convert to fraction form
    586.53/880.20 = 465.57/x
  3. Step 3: Cross multiply
    586.53x = 880.20 × 465.57
  4. Step 4: Simplify right side
    586.53x = 409,794.71
  5. Step 5: Solve for x
    x = 409,794.71/586.53
  6. Step 6: Final answer
    x = 698.68

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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.