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Finding the Fourth Proportional to 652.03, 899.78 and 386.35

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Solution

The fourth proportional to 652.03, 899.78 and 386.35 is: 533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 899.78 = 386.35 : x
  2. Step 2: Convert to fraction form
    652.03/899.78 = 386.35/x
  3. Step 3: Cross multiply
    652.03x = 899.78 × 386.35
  4. Step 4: Simplify right side
    652.03x = 347,625.82
  5. Step 5: Solve for x
    x = 347,625.82/652.03
  6. Step 6: Final answer
    x = 533.15

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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.