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Finding the Fourth Proportional to 483.04, 719.33 and 471.70

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Solution

The fourth proportional to 483.04, 719.33 and 471.70 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.04 : 719.33 = 471.70 : x
  2. Step 2: Convert to fraction form
    483.04/719.33 = 471.70/x
  3. Step 3: Cross multiply
    483.04x = 719.33 × 471.70
  4. Step 4: Simplify right side
    483.04x = 339,307.96
  5. Step 5: Solve for x
    x = 339,307.96/483.04
  6. Step 6: Final answer
    x = 702.44

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Why These Related Problems?

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