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Finding the Fourth Proportional to 652.37, 900.35 and 390.38

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Solution

The fourth proportional to 652.37, 900.35 and 390.38 is: 538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.37 : 900.35 = 390.38 : x
  2. Step 2: Convert to fraction form
    652.37/900.35 = 390.38/x
  3. Step 3: Cross multiply
    652.37x = 900.35 × 390.38
  4. Step 4: Simplify right side
    652.37x = 351,472.18
  5. Step 5: Solve for x
    x = 351,472.18/652.37
  6. Step 6: Final answer
    x = 538.77

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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.