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Finding the Fourth Proportional to 585, 807.30 and 378

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Solution

The fourth proportional to 585, 807.30 and 378 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 807.30 = 378 : x
  2. Step 2: Convert to fraction form
    585/807.30 = 378/x
  3. Step 3: Cross multiply
    585x = 807.30 × 378
  4. Step 4: Simplify right side
    585x = 305,159.40
  5. Step 5: Solve for x
    x = 305,159.40/585
  6. Step 6: Final answer
    x = 521.64

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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.