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Finding the Fourth Proportional to 570.24, 785.70 and 510.30

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Solution

The fourth proportional to 570.24, 785.70 and 510.30 is: 703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 785.70 = 510.30 : x
  2. Step 2: Convert to fraction form
    570.24/785.70 = 510.30/x
  3. Step 3: Cross multiply
    570.24x = 785.70 × 510.30
  4. Step 4: Simplify right side
    570.24x = 400,942.71
  5. Step 5: Solve for x
    x = 400,942.71/570.24
  6. Step 6: Final answer
    x = 703.11

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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.