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Finding the Fourth Proportional to 895.58, 1,342.94 and 340.39

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Solution

The fourth proportional to 895.58, 1,342.94 and 340.39 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.58 : 1,342.94 = 340.39 : x
  2. Step 2: Convert to fraction form
    895.58/1,342.94 = 340.39/x
  3. Step 3: Cross multiply
    895.58x = 1,342.94 × 340.39
  4. Step 4: Simplify right side
    895.58x = 457,116.63
  5. Step 5: Solve for x
    x = 457,116.63/895.58
  6. Step 6: Final answer
    x = 510.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.