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Finding the Fourth Proportional to 651.68, 899.09 and 403.14

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Solution

The fourth proportional to 651.68, 899.09 and 403.14 is: 556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 899.09 = 403.14 : x
  2. Step 2: Convert to fraction form
    651.68/899.09 = 403.14/x
  3. Step 3: Cross multiply
    651.68x = 899.09 × 403.14
  4. Step 4: Simplify right side
    651.68x = 362,457.13
  5. Step 5: Solve for x
    x = 362,457.13/651.68
  6. Step 6: Final answer
    x = 556.19

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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.