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Finding the Fourth Proportional to 469.60, 646.72 and 365.92

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Solution

The fourth proportional to 469.60, 646.72 and 365.92 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 646.72 = 365.92 : x
  2. Step 2: Convert to fraction form
    469.60/646.72 = 365.92/x
  3. Step 3: Cross multiply
    469.60x = 646.72 × 365.92
  4. Step 4: Simplify right side
    469.60x = 236,647.78
  5. Step 5: Solve for x
    x = 236,647.78/469.60
  6. Step 6: Final answer
    x = 503.93

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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.