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Finding the Fourth Proportional to 510.32, 705.04 and 448.32

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Solution

The fourth proportional to 510.32, 705.04 and 448.32 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 705.04 = 448.32 : x
  2. Step 2: Convert to fraction form
    510.32/705.04 = 448.32/x
  3. Step 3: Cross multiply
    510.32x = 705.04 × 448.32
  4. Step 4: Simplify right side
    510.32x = 316,083.53
  5. Step 5: Solve for x
    x = 316,083.53/510.32
  6. Step 6: Final answer
    x = 619.38

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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.