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Finding the Fourth Proportional to 585.24, 807.53 and 336.53

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Solution

The fourth proportional to 585.24, 807.53 and 336.53 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 807.53 = 336.53 : x
  2. Step 2: Convert to fraction form
    585.24/807.53 = 336.53/x
  3. Step 3: Cross multiply
    585.24x = 807.53 × 336.53
  4. Step 4: Simplify right side
    585.24x = 271,752.35
  5. Step 5: Solve for x
    x = 271,752.35/585.24
  6. Step 6: Final answer
    x = 464.34

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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.