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Finding the Fourth Proportional to 569.58, 786.81 and 440.25

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Solution

The fourth proportional to 569.58, 786.81 and 440.25 is: 608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.58 : 786.81 = 440.25 : x
  2. Step 2: Convert to fraction form
    569.58/786.81 = 440.25/x
  3. Step 3: Cross multiply
    569.58x = 786.81 × 440.25
  4. Step 4: Simplify right side
    569.58x = 346,393.10
  5. Step 5: Solve for x
    x = 346,393.10/569.58
  6. Step 6: Final answer
    x = 608.16

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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.