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Finding the Fourth Proportional to 570.25, 786.34 and 511.32

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Solution

The fourth proportional to 570.25, 786.34 and 511.32 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 786.34 = 511.32 : x
  2. Step 2: Convert to fraction form
    570.25/786.34 = 511.32/x
  3. Step 3: Cross multiply
    570.25x = 786.34 × 511.32
  4. Step 4: Simplify right side
    570.25x = 402,071.37
  5. Step 5: Solve for x
    x = 402,071.37/570.25
  6. Step 6: Final answer
    x = 705.08

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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.