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Finding the Fourth Proportional to 564.71, 846.35 and 304.70

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Solution

The fourth proportional to 564.71, 846.35 and 304.70 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 846.35 = 304.70 : x
  2. Step 2: Convert to fraction form
    564.71/846.35 = 304.70/x
  3. Step 3: Cross multiply
    564.71x = 846.35 × 304.70
  4. Step 4: Simplify right side
    564.71x = 257,878.23
  5. Step 5: Solve for x
    x = 257,878.23/564.71
  6. Step 6: Final answer
    x = 456.66

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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.