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Finding the Fourth Proportional to 405.10, 557.76 and 368.15

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Solution

The fourth proportional to 405.10, 557.76 and 368.15 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 557.76 = 368.15 : x
  2. Step 2: Convert to fraction form
    405.10/557.76 = 368.15/x
  3. Step 3: Cross multiply
    405.10x = 557.76 × 368.15
  4. Step 4: Simplify right side
    405.10x = 205,334.71
  5. Step 5: Solve for x
    x = 205,334.71/405.10
  6. Step 6: Final answer
    x = 506.87

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