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Finding the Fourth Proportional to 651.24, 899.30 and 418.76

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Solution

The fourth proportional to 651.24, 899.30 and 418.76 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 899.30 = 418.76 : x
  2. Step 2: Convert to fraction form
    651.24/899.30 = 418.76/x
  3. Step 3: Cross multiply
    651.24x = 899.30 × 418.76
  4. Step 4: Simplify right side
    651.24x = 376,590.87
  5. Step 5: Solve for x
    x = 376,590.87/651.24
  6. Step 6: Final answer
    x = 578.27

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1.5x scale

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.