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Finding the Fourth Proportional to 651.80, 899.16 and 415.34

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Solution

The fourth proportional to 651.80, 899.16 and 415.34 is: 572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 899.16 = 415.34 : x
  2. Step 2: Convert to fraction form
    651.80/899.16 = 415.34/x
  3. Step 3: Cross multiply
    651.80x = 899.16 × 415.34
  4. Step 4: Simplify right side
    651.80x = 373,457.11
  5. Step 5: Solve for x
    x = 373,457.11/651.80
  6. Step 6: Final answer
    x = 572.96

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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.