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Finding the Fourth Proportional to 521.93, 719.75 and 312.14

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Solution

The fourth proportional to 521.93, 719.75 and 312.14 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 719.75 = 312.14 : x
  2. Step 2: Convert to fraction form
    521.93/719.75 = 312.14/x
  3. Step 3: Cross multiply
    521.93x = 719.75 × 312.14
  4. Step 4: Simplify right side
    521.93x = 224,662.77
  5. Step 5: Solve for x
    x = 224,662.77/521.93
  6. Step 6: Final answer
    x = 430.45

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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.