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Finding the Fourth Proportional to 611.58, 916.08 and 322.42

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Solution

The fourth proportional to 611.58, 916.08 and 322.42 is: 482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.58 : 916.08 = 322.42 : x
  2. Step 2: Convert to fraction form
    611.58/916.08 = 322.42/x
  3. Step 3: Cross multiply
    611.58x = 916.08 × 322.42
  4. Step 4: Simplify right side
    611.58x = 295,362.51
  5. Step 5: Solve for x
    x = 295,362.51/611.58
  6. Step 6: Final answer
    x = 482.95

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Why These Related Problems?

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