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Finding the Fourth Proportional to 524.04, 722.74 and 472.84

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Solution

The fourth proportional to 524.04, 722.74 and 472.84 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 722.74 = 472.84 : x
  2. Step 2: Convert to fraction form
    524.04/722.74 = 472.84/x
  3. Step 3: Cross multiply
    524.04x = 722.74 × 472.84
  4. Step 4: Simplify right side
    524.04x = 341,740.38
  5. Step 5: Solve for x
    x = 341,740.38/524.04
  6. Step 6: Final answer
    x = 652.13

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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.