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Finding the Fourth Proportional to 630.10, 869.56 and 364.58

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Solution

The fourth proportional to 630.10, 869.56 and 364.58 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.10 : 869.56 = 364.58 : x
  2. Step 2: Convert to fraction form
    630.10/869.56 = 364.58/x
  3. Step 3: Cross multiply
    630.10x = 869.56 × 364.58
  4. Step 4: Simplify right side
    630.10x = 317,024.18
  5. Step 5: Solve for x
    x = 317,024.18/630.10
  6. Step 6: Final answer
    x = 503.13

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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.