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Finding the Fourth Proportional to 651.91, 899.93 and 416.18

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Solution

The fourth proportional to 651.91, 899.93 and 416.18 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.91 : 899.93 = 416.18 : x
  2. Step 2: Convert to fraction form
    651.91/899.93 = 416.18/x
  3. Step 3: Cross multiply
    651.91x = 899.93 × 416.18
  4. Step 4: Simplify right side
    651.91x = 374,526.29
  5. Step 5: Solve for x
    x = 374,526.29/651.91
  6. Step 6: Final answer
    x = 574.51

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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.