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Finding the Fourth Proportional to 586.13, 877.93 and 380.09

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Solution

The fourth proportional to 586.13, 877.93 and 380.09 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 877.93 = 380.09 : x
  2. Step 2: Convert to fraction form
    586.13/877.93 = 380.09/x
  3. Step 3: Cross multiply
    586.13x = 877.93 × 380.09
  4. Step 4: Simplify right side
    586.13x = 333,693.66
  5. Step 5: Solve for x
    x = 333,693.66/586.13
  6. Step 6: Final answer
    x = 569.32

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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.