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Finding the Fourth Proportional to 651.72, 899.64 and 465.24

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Solution

The fourth proportional to 651.72, 899.64 and 465.24 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 899.64 = 465.24 : x
  2. Step 2: Convert to fraction form
    651.72/899.64 = 465.24/x
  3. Step 3: Cross multiply
    651.72x = 899.64 × 465.24
  4. Step 4: Simplify right side
    651.72x = 418,548.51
  5. Step 5: Solve for x
    x = 418,548.51/651.72
  6. Step 6: Final answer
    x = 642.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.