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Finding the Fourth Proportional to 476.93, 712.63 and 365.13

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Solution

The fourth proportional to 476.93, 712.63 and 365.13 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 712.63 = 365.13 : x
  2. Step 2: Convert to fraction form
    476.93/712.63 = 365.13/x
  3. Step 3: Cross multiply
    476.93x = 712.63 × 365.13
  4. Step 4: Simplify right side
    476.93x = 260,202.59
  5. Step 5: Solve for x
    x = 260,202.59/476.93
  6. Step 6: Final answer
    x = 545.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.