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Finding the Fourth Proportional to 505.85, 756.95 and 384.35

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Solution

The fourth proportional to 505.85, 756.95 and 384.35 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 756.95 = 384.35 : x
  2. Step 2: Convert to fraction form
    505.85/756.95 = 384.35/x
  3. Step 3: Cross multiply
    505.85x = 756.95 × 384.35
  4. Step 4: Simplify right side
    505.85x = 290,928.03
  5. Step 5: Solve for x
    x = 290,928.03/505.85
  6. Step 6: Final answer
    x = 575.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.