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Finding the Fourth Proportional to 477.41, 715.77 and 152.59

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Solution

The fourth proportional to 477.41, 715.77 and 152.59 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.41 : 715.77 = 152.59 : x
  2. Step 2: Convert to fraction form
    477.41/715.77 = 152.59/x
  3. Step 3: Cross multiply
    477.41x = 715.77 × 152.59
  4. Step 4: Simplify right side
    477.41x = 109,218.58
  5. Step 5: Solve for x
    x = 109,218.58/477.41
  6. Step 6: Final answer
    x = 228.77

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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.