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Finding the Fourth Proportional to 369.42, 509.40 and 314.07

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Solution

The fourth proportional to 369.42, 509.40 and 314.07 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 509.40 = 314.07 : x
  2. Step 2: Convert to fraction form
    369.42/509.40 = 314.07/x
  3. Step 3: Cross multiply
    369.42x = 509.40 × 314.07
  4. Step 4: Simplify right side
    369.42x = 159,987.26
  5. Step 5: Solve for x
    x = 159,987.26/369.42
  6. Step 6: Final answer
    x = 433.08

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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.