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Finding the Fourth Proportional to 514.23, 710.42 and 383.01

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Solution

The fourth proportional to 514.23, 710.42 and 383.01 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.23 : 710.42 = 383.01 : x
  2. Step 2: Convert to fraction form
    514.23/710.42 = 383.01/x
  3. Step 3: Cross multiply
    514.23x = 710.42 × 383.01
  4. Step 4: Simplify right side
    514.23x = 272,096.05
  5. Step 5: Solve for x
    x = 272,096.05/514.23
  6. Step 6: Final answer
    x = 529.13

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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.