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Finding the Fourth Proportional to 593.04, 890.93 and 463.24

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Solution

The fourth proportional to 593.04, 890.93 and 463.24 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 890.93 = 463.24 : x
  2. Step 2: Convert to fraction form
    593.04/890.93 = 463.24/x
  3. Step 3: Cross multiply
    593.04x = 890.93 × 463.24
  4. Step 4: Simplify right side
    593.04x = 412,714.41
  5. Step 5: Solve for x
    x = 412,714.41/593.04
  6. Step 6: Final answer
    x = 695.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.