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Finding the Fourth Proportional to 705.10, 973.02 and 390.34

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Solution

The fourth proportional to 705.10, 973.02 and 390.34 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.10 : 973.02 = 390.34 : x
  2. Step 2: Convert to fraction form
    705.10/973.02 = 390.34/x
  3. Step 3: Cross multiply
    705.10x = 973.02 × 390.34
  4. Step 4: Simplify right side
    705.10x = 379,808.63
  5. Step 5: Solve for x
    x = 379,808.63/705.10
  6. Step 6: Final answer
    x = 538.66

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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.