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Finding the Fourth Proportional to 405.40, 558.84 and 265.51

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Solution

The fourth proportional to 405.40, 558.84 and 265.51 is: 366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.40 : 558.84 = 265.51 : x
  2. Step 2: Convert to fraction form
    405.40/558.84 = 265.51/x
  3. Step 3: Cross multiply
    405.40x = 558.84 × 265.51
  4. Step 4: Simplify right side
    405.40x = 148,377.61
  5. Step 5: Solve for x
    x = 148,377.61/405.40
  6. Step 6: Final answer
    x = 366.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.