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Finding the Fourth Proportional to 584.48, 806.48 and 429.60

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Solution

The fourth proportional to 584.48, 806.48 and 429.60 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 806.48 = 429.60 : x
  2. Step 2: Convert to fraction form
    584.48/806.48 = 429.60/x
  3. Step 3: Cross multiply
    584.48x = 806.48 × 429.60
  4. Step 4: Simplify right side
    584.48x = 346,463.81
  5. Step 5: Solve for x
    x = 346,463.81/584.48
  6. Step 6: Final answer
    x = 592.77

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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.