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Finding the Fourth Proportional to 472.90, 652.53 and 286.42

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Solution

The fourth proportional to 472.90, 652.53 and 286.42 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.90 : 652.53 = 286.42 : x
  2. Step 2: Convert to fraction form
    472.90/652.53 = 286.42/x
  3. Step 3: Cross multiply
    472.90x = 652.53 × 286.42
  4. Step 4: Simplify right side
    472.90x = 186,897.64
  5. Step 5: Solve for x
    x = 186,897.64/472.90
  6. Step 6: Final answer
    x = 395.22

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