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Finding the Fourth Proportional to 524.04, 785.52 and 470.04

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Solution

The fourth proportional to 524.04, 785.52 and 470.04 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 785.52 = 470.04 : x
  2. Step 2: Convert to fraction form
    524.04/785.52 = 470.04/x
  3. Step 3: Cross multiply
    524.04x = 785.52 × 470.04
  4. Step 4: Simplify right side
    524.04x = 369,225.82
  5. Step 5: Solve for x
    x = 369,225.82/524.04
  6. Step 6: Final answer
    x = 704.58

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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.