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Finding the Fourth Proportional to 529.81, 790.70 and 463.63

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Solution

The fourth proportional to 529.81, 790.70 and 463.63 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.81 : 790.70 = 463.63 : x
  2. Step 2: Convert to fraction form
    529.81/790.70 = 463.63/x
  3. Step 3: Cross multiply
    529.81x = 790.70 × 463.63
  4. Step 4: Simplify right side
    529.81x = 366,592.24
  5. Step 5: Solve for x
    x = 366,592.24/529.81
  6. Step 6: Final answer
    x = 691.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.