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Finding the Fourth Proportional to 652.42, 900.28 and 364.94

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Solution

The fourth proportional to 652.42, 900.28 and 364.94 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.42 : 900.28 = 364.94 : x
  2. Step 2: Convert to fraction form
    652.42/900.28 = 364.94/x
  3. Step 3: Cross multiply
    652.42x = 900.28 × 364.94
  4. Step 4: Simplify right side
    652.42x = 328,548.18
  5. Step 5: Solve for x
    x = 328,548.18/652.42
  6. Step 6: Final answer
    x = 503.58

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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.