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Finding the Fourth Proportional to 369.58, 509.70 and 314.50

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Solution

The fourth proportional to 369.58, 509.70 and 314.50 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.58 : 509.70 = 314.50 : x
  2. Step 2: Convert to fraction form
    369.58/509.70 = 314.50/x
  3. Step 3: Cross multiply
    369.58x = 509.70 × 314.50
  4. Step 4: Simplify right side
    369.58x = 160,300.65
  5. Step 5: Solve for x
    x = 160,300.65/369.58
  6. Step 6: Final answer
    x = 433.74

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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.