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Finding the Fourth Proportional to 705.50, 973.59 and 390.77

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Solution

The fourth proportional to 705.50, 973.59 and 390.77 is: 539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.50 : 973.59 = 390.77 : x
  2. Step 2: Convert to fraction form
    705.50/973.59 = 390.77/x
  3. Step 3: Cross multiply
    705.50x = 973.59 × 390.77
  4. Step 4: Simplify right side
    705.50x = 380,444.90
  5. Step 5: Solve for x
    x = 380,444.90/705.50
  6. Step 6: Final answer
    x = 539.26

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Double scale
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1.5x scale

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.