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Finding the Fourth Proportional to 509.96, 703.74 and 370.14

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Solution

The fourth proportional to 509.96, 703.74 and 370.14 is: 510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 703.74 = 370.14 : x
  2. Step 2: Convert to fraction form
    509.96/703.74 = 370.14/x
  3. Step 3: Cross multiply
    509.96x = 703.74 × 370.14
  4. Step 4: Simplify right side
    509.96x = 260,482.32
  5. Step 5: Solve for x
    x = 260,482.32/509.96
  6. Step 6: Final answer
    x = 510.79

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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.