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Finding the Fourth Proportional to 652.36, 900.32 and 357.69

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Solution

The fourth proportional to 652.36, 900.32 and 357.69 is: 493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.36 : 900.32 = 357.69 : x
  2. Step 2: Convert to fraction form
    652.36/900.32 = 357.69/x
  3. Step 3: Cross multiply
    652.36x = 900.32 × 357.69
  4. Step 4: Simplify right side
    652.36x = 322,032.32
  5. Step 5: Solve for x
    x = 322,032.32/652.36
  6. Step 6: Final answer
    x = 493.64

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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.