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Finding the Fourth Proportional to 652.23, 899.58 and 403.68

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Solution

The fourth proportional to 652.23, 899.58 and 403.68 is: 556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 899.58 = 403.68 : x
  2. Step 2: Convert to fraction form
    652.23/899.58 = 403.68/x
  3. Step 3: Cross multiply
    652.23x = 899.58 × 403.68
  4. Step 4: Simplify right side
    652.23x = 363,142.45
  5. Step 5: Solve for x
    x = 363,142.45/652.23
  6. Step 6: Final answer
    x = 556.77

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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.