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Finding the Fourth Proportional to 652.26, 899.95 and 386.71

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Solution

The fourth proportional to 652.26, 899.95 and 386.71 is: 533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 899.95 = 386.71 : x
  2. Step 2: Convert to fraction form
    652.26/899.95 = 386.71/x
  3. Step 3: Cross multiply
    652.26x = 899.95 × 386.71
  4. Step 4: Simplify right side
    652.26x = 348,017.17
  5. Step 5: Solve for x
    x = 348,017.17/652.26
  6. Step 6: Final answer
    x = 533.56

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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.