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Finding the Fourth Proportional to 705.04, 973.01 and 410.30

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Solution

The fourth proportional to 705.04, 973.01 and 410.30 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 973.01 = 410.30 : x
  2. Step 2: Convert to fraction form
    705.04/973.01 = 410.30/x
  3. Step 3: Cross multiply
    705.04x = 973.01 × 410.30
  4. Step 4: Simplify right side
    705.04x = 399,225.81
  5. Step 5: Solve for x
    x = 399,225.81/705.04
  6. Step 6: Final answer
    x = 566.25

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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.