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Finding the Fourth Proportional to 473.51, 710.47 and 256.84

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Solution

The fourth proportional to 473.51, 710.47 and 256.84 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.51 : 710.47 = 256.84 : x
  2. Step 2: Convert to fraction form
    473.51/710.47 = 256.84/x
  3. Step 3: Cross multiply
    473.51x = 710.47 × 256.84
  4. Step 4: Simplify right side
    473.51x = 182,477.11
  5. Step 5: Solve for x
    x = 182,477.11/473.51
  6. Step 6: Final answer
    x = 385.37

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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.