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Finding the Fourth Proportional to 472.53, 709 and 256.09

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Solution

The fourth proportional to 472.53, 709 and 256.09 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 709 = 256.09 : x
  2. Step 2: Convert to fraction form
    472.53/709 = 256.09/x
  3. Step 3: Cross multiply
    472.53x = 709 × 256.09
  4. Step 4: Simplify right side
    472.53x = 181,567.81
  5. Step 5: Solve for x
    x = 181,567.81/472.53
  6. Step 6: Final answer
    x = 384.25

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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.