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Finding the Fourth Proportional to 585.60, 804.51 and 524.25

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Solution

The fourth proportional to 585.60, 804.51 and 524.25 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 804.51 = 524.25 : x
  2. Step 2: Convert to fraction form
    585.60/804.51 = 524.25/x
  3. Step 3: Cross multiply
    585.60x = 804.51 × 524.25
  4. Step 4: Simplify right side
    585.60x = 421,764.37
  5. Step 5: Solve for x
    x = 421,764.37/585.60
  6. Step 6: Final answer
    x = 720.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.