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Finding the Fourth Proportional to 346.19, 515.84 and 307.89

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Solution

The fourth proportional to 346.19, 515.84 and 307.89 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.19 : 515.84 = 307.89 : x
  2. Step 2: Convert to fraction form
    346.19/515.84 = 307.89/x
  3. Step 3: Cross multiply
    346.19x = 515.84 × 307.89
  4. Step 4: Simplify right side
    346.19x = 158,820.44
  5. Step 5: Solve for x
    x = 158,820.44/346.19
  6. Step 6: Final answer
    x = 458.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.