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Finding the Fourth Proportional to 477.65, 716.30 and 152.93

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Solution

The fourth proportional to 477.65, 716.30 and 152.93 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 716.30 = 152.93 : x
  2. Step 2: Convert to fraction form
    477.65/716.30 = 152.93/x
  3. Step 3: Cross multiply
    477.65x = 716.30 × 152.93
  4. Step 4: Simplify right side
    477.65x = 109,542.35
  5. Step 5: Solve for x
    x = 109,542.35/477.65
  6. Step 6: Final answer
    x = 229.34

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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.