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Finding the Fourth Proportional to 405.58, 559.48 and 307.16

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Solution

The fourth proportional to 405.58, 559.48 and 307.16 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.58 : 559.48 = 307.16 : x
  2. Step 2: Convert to fraction form
    405.58/559.48 = 307.16/x
  3. Step 3: Cross multiply
    405.58x = 559.48 × 307.16
  4. Step 4: Simplify right side
    405.58x = 171,849.88
  5. Step 5: Solve for x
    x = 171,849.88/405.58
  6. Step 6: Final answer
    x = 423.72

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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.