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Finding the Fourth Proportional to 582, 802.80 and 465.84

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Solution

The fourth proportional to 582, 802.80 and 465.84 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 802.80 = 465.84 : x
  2. Step 2: Convert to fraction form
    582/802.80 = 465.84/x
  3. Step 3: Cross multiply
    582x = 802.80 × 465.84
  4. Step 4: Simplify right side
    582x = 373,976.35
  5. Step 5: Solve for x
    x = 373,976.35/582
  6. Step 6: Final answer
    x = 642.57

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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.