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Finding the Fourth Proportional to 570.06, 786.30 and 360.50

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Solution

The fourth proportional to 570.06, 786.30 and 360.50 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 786.30 = 360.50 : x
  2. Step 2: Convert to fraction form
    570.06/786.30 = 360.50/x
  3. Step 3: Cross multiply
    570.06x = 786.30 × 360.50
  4. Step 4: Simplify right side
    570.06x = 283,457.22
  5. Step 5: Solve for x
    x = 283,457.22/570.06
  6. Step 6: Final answer
    x = 497.24

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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.