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Finding the Fourth Proportional to 646.15, 891.41 and 384.02

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Solution

The fourth proportional to 646.15, 891.41 and 384.02 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.15 : 891.41 = 384.02 : x
  2. Step 2: Convert to fraction form
    646.15/891.41 = 384.02/x
  3. Step 3: Cross multiply
    646.15x = 891.41 × 384.02
  4. Step 4: Simplify right side
    646.15x = 342,312.89
  5. Step 5: Solve for x
    x = 342,312.89/646.15
  6. Step 6: Final answer
    x = 529.77

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Why These Related Problems?

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