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Finding the Fourth Proportional to 472.83, 652.71 and 305.02

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Solution

The fourth proportional to 472.83, 652.71 and 305.02 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.83 : 652.71 = 305.02 : x
  2. Step 2: Convert to fraction form
    472.83/652.71 = 305.02/x
  3. Step 3: Cross multiply
    472.83x = 652.71 × 305.02
  4. Step 4: Simplify right side
    472.83x = 199,089.60
  5. Step 5: Solve for x
    x = 199,089.60/472.83
  6. Step 6: Final answer
    x = 421.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.