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Finding the Fourth Proportional to 469.32, 705.06 and 360.78

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Solution

The fourth proportional to 469.32, 705.06 and 360.78 is: 542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 705.06 = 360.78 : x
  2. Step 2: Convert to fraction form
    469.32/705.06 = 360.78/x
  3. Step 3: Cross multiply
    469.32x = 705.06 × 360.78
  4. Step 4: Simplify right side
    469.32x = 254,371.55
  5. Step 5: Solve for x
    x = 254,371.55/469.32
  6. Step 6: Final answer
    x = 542.00

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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.