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Finding the Fourth Proportional to 469.58, 705.04 and 264.10

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Solution

The fourth proportional to 469.58, 705.04 and 264.10 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 705.04 = 264.10 : x
  2. Step 2: Convert to fraction form
    469.58/705.04 = 264.10/x
  3. Step 3: Cross multiply
    469.58x = 705.04 × 264.10
  4. Step 4: Simplify right side
    469.58x = 186,201.06
  5. Step 5: Solve for x
    x = 186,201.06/469.58
  6. Step 6: Final answer
    x = 396.53

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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.