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Finding the Fourth Proportional to 477.08, 715.65 and 188.45

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Solution

The fourth proportional to 477.08, 715.65 and 188.45 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.08 : 715.65 = 188.45 : x
  2. Step 2: Convert to fraction form
    477.08/715.65 = 188.45/x
  3. Step 3: Cross multiply
    477.08x = 715.65 × 188.45
  4. Step 4: Simplify right side
    477.08x = 134,860.66
  5. Step 5: Solve for x
    x = 134,860.66/477.08
  6. Step 6: Final answer
    x = 282.68

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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.